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HTML 

              
                <script async src="https://ga.jspm.io/npm:es-module-shims@1.5.1/dist/es-module-shims.js" crossorigin="anonymous"></script>
<script type="importmap">
  {
    "imports": {
      "three": "https://unpkg.com/three@0.155.0/build/three.module.js",
      "three/addons/": "https://unpkg.com/three@0.155.0/examples/jsm/"
    }
  }
</script>
!

CSS 

              
                body {
  overflow: hidden;
  margin: 0;
}
!

JS 

              
                // https://discourse.threejs.org/t/translating-geocoordinates-to-local-x-z-coordinates/55963

import * as THREE from "three";

console.clear( );


// PA, PB and PC are three points defined by their longitude
//				and latitude THREE.Vector3(longitude,0,latitude)
// QA and QB are two points in a coordinate system that has
//				the same handedness, e.g. either THREE.Vector3(x,0,z)
//				or THREE.Vector3(z,0,x). QA and QB correspond to
//				PA and PB
// Result: a the position of the third point QC that corresponds
//				to point PC

function geoLocal( PA, PB, PC, QA, QB )
{
		// calculation how much the latitude is scaled towards the poles
		var k = Math.cos( THREE.MathUtils.degToRad((PA.z+PB.z+PC.z)/3) );	
	
		// adjust the global coordinates
		PA.z /= k;
		PB.z /= k;
		PC.z /= k;

		// define vectors between points
		var PAB = new THREE.Vector3().subVectors( PB, PA ),
				PBC = new THREE.Vector3().subVectors( PC, PB ),
				QAB = new THREE.Vector3().subVectors( QB, QA );

		// calculate the length of vector QBC (its direction in unknown)
		var QBClen = QAB.length() * PBC.length()/PAB.length();

		// calculate the signed angle between vectors PAB and PBC
		// math explanation: https://stackoverflow.com/a/33920320
		var N = new THREE.Vector3( 0, 1, 0 ),
				V = PBC.clone().cross( PAB );
	
		var alpha = Math.atan2( V.dot(N), PAB.dot(PBC) );
	
		// get the QAB vector, normalize it and rotate it as
		// much as is the signed angle between PAB and PBC
		QAB.normalize().applyAxisAngle( N, -alpha );

		// expand the rotated vector to be as long as QBC
		// should be; add it to QB -- this is the point QC
		return QB.clone().addScaledVector( QAB, QBClen );
}



var P = geoLocal(
	new THREE.Vector3(144.30724288969,0,-38.1495921086427),// lon1, 0, lat1
	new THREE.Vector3(144.307338593531,0,-38.1492866772213),// lon2, 0, lat2
	
	//new THREE.Vector3(144.3073613926176,0,-38.14901617699974),// lon3, 0, lat3 -- sample point 1
	//new THREE.Vector3(144.30823108398587,0,-38.14923334727532),// lon3, 0, lat3 -- sample point 2
	new THREE.Vector3(144.30748132466096,0,-38.14995687807887),// lon3, 0, lat3 -- sample point 3
	
	
	new THREE.Vector3(12.62,0,-2.34),// z1, 0, x1
	new THREE.Vector3(11.2,0,-3.28)// z2, 0, x2
)

console.log( P.x, P.z )
!
999px

Console