Finding the Third Proportional to 256,560 and 402,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,560 : 402,464.50 = 402,464.50 : x
2. Step 2: Convert to fraction form
   256,560/402,464.50 = 402,464.50/x
3. Step 3: Cross multiply
   256,560x = 402,464.50 × 402,464.50
4. Step 4: Simplify right side
   256,560x = 161,977,673,760.25
5. Step 5: Solve for x
   x = 161,977,673,760.25/256,560
6. Step 6: Final answer
   x = 631,344.22