Finding the Third Proportional to 118,314 and 256,695.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,314 : 256,695.50 = 256,695.50 : x
2. Step 2: Convert to fraction form
   118,314/256,695.50 = 256,695.50/x
3. Step 3: Cross multiply
   118,314x = 256,695.50 × 256,695.50
4. Step 4: Simplify right side
   118,314x = 65,892,579,720.25
5. Step 5: Solve for x
   x = 65,892,579,720.25/118,314
6. Step 6: Final answer
   x = 556,929.69