Finding the Third Proportional to 256,573 and 402,479.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,573 : 402,479.50 = 402,479.50 : x
2. Step 2: Convert to fraction form
   256,573/402,479.50 = 402,479.50/x
3. Step 3: Cross multiply
   256,573x = 402,479.50 × 402,479.50
4. Step 4: Simplify right side
   256,573x = 161,989,747,920.25
5. Step 5: Solve for x
   x = 161,989,747,920.25/256,573
6. Step 6: Final answer
   x = 631,359.29