Finding the Third Proportional to 402,436 and 564,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,436 : 564,006.50 = 564,006.50 : x
2. Step 2: Convert to fraction form
   402,436/564,006.50 = 564,006.50/x
3. Step 3: Cross multiply
   402,436x = 564,006.50 × 564,006.50
4. Step 4: Simplify right side
   402,436x = 318,103,332,042.25
5. Step 5: Solve for x
   x = 318,103,332,042.25/402,436
6. Step 6: Final answer
   x = 790,444.52