Finding the Third Proportional to 256,572 and 402,477.75

Step by Step Solution

1. Step 1: Write the proportion equation
   256,572 : 402,477.75 = 402,477.75 : x
2. Step 2: Convert to fraction form
   256,572/402,477.75 = 402,477.75/x
3. Step 3: Cross multiply
   256,572x = 402,477.75 × 402,477.75
4. Step 4: Simplify right side
   256,572x = 161,988,339,245.06
5. Step 5: Solve for x
   x = 161,988,339,245.06/256,572
6. Step 6: Final answer
   x = 631,356.26