Finding the Third Proportional to 256,570 and 402,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,570 : 402,471.50 = 402,471.50 : x
2. Step 2: Convert to fraction form
   256,570/402,471.50 = 402,471.50/x
3. Step 3: Cross multiply
   256,570x = 402,471.50 × 402,471.50
4. Step 4: Simplify right side
   256,570x = 161,983,308,312.25
5. Step 5: Solve for x
   x = 161,983,308,312.25/256,570
6. Step 6: Final answer
   x = 631,341.58