Finding the Third Proportional to 402,684 and 563,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,684 : 563,275.50 = 563,275.50 : x
2. Step 2: Convert to fraction form
   402,684/563,275.50 = 563,275.50/x
3. Step 3: Cross multiply
   402,684x = 563,275.50 × 563,275.50
4. Step 4: Simplify right side
   402,684x = 317,279,288,900.25
5. Step 5: Solve for x
   x = 317,279,288,900.25/402,684
6. Step 6: Final answer
   x = 787,911.34