Finding the Third Proportional to 256,562.50 and 402,461

Step by Step Solution

1. Step 1: Write the proportion equation
   256,562.50 : 402,461 = 402,461 : x
2. Step 2: Convert to fraction form
   256,562.50/402,461 = 402,461/x
3. Step 3: Cross multiply
   256,562.50x = 402,461 × 402,461
4. Step 4: Simplify right side
   256,562.50x = 161,974,856,521
5. Step 5: Solve for x
   x = 161,974,856,521/256,562.50
6. Step 6: Final answer
   x = 631,327.09