Finding the Third Proportional to 102,159.50 and 216,605

Step by Step Solution

1. Step 1: Write the proportion equation
   102,159.50 : 216,605 = 216,605 : x
2. Step 2: Convert to fraction form
   102,159.50/216,605 = 216,605/x
3. Step 3: Cross multiply
   102,159.50x = 216,605 × 216,605
4. Step 4: Simplify right side
   102,159.50x = 46,917,726,025
5. Step 5: Solve for x
   x = 46,917,726,025/102,159.50
6. Step 6: Final answer
   x = 459,259.55