Finding the Third Proportional to 124,663 and 256,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   124,663 : 256,677.50 = 256,677.50 : x
2. Step 2: Convert to fraction form
   124,663/256,677.50 = 256,677.50/x
3. Step 3: Cross multiply
   124,663x = 256,677.50 × 256,677.50
4. Step 4: Simplify right side
   124,663x = 65,883,339,006.25
5. Step 5: Solve for x
   x = 65,883,339,006.25/124,663
6. Step 6: Final answer
   x = 528,491.53