Finding the Third Proportional to 256,564.50 and 402,464

Step by Step Solution

1. Step 1: Write the proportion equation
   256,564.50 : 402,464 = 402,464 : x
2. Step 2: Convert to fraction form
   256,564.50/402,464 = 402,464/x
3. Step 3: Cross multiply
   256,564.50x = 402,464 × 402,464
4. Step 4: Simplify right side
   256,564.50x = 161,977,271,296
5. Step 5: Solve for x
   x = 161,977,271,296/256,564.50
6. Step 6: Final answer
   x = 631,331.58