Finding the Third Proportional to 256,548 and 402,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,548 : 402,442.50 = 402,442.50 : x
2. Step 2: Convert to fraction form
   256,548/402,442.50 = 402,442.50/x
3. Step 3: Cross multiply
   256,548x = 402,442.50 × 402,442.50
4. Step 4: Simplify right side
   256,548x = 161,959,965,806.25
5. Step 5: Solve for x
   x = 161,959,965,806.25/256,548
6. Step 6: Final answer
   x = 631,304.73