Finding the Third Proportional to 256,287 and 408,118.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,287 : 408,118.50 = 408,118.50 : x
2. Step 2: Convert to fraction form
   256,287/408,118.50 = 408,118.50/x
3. Step 3: Cross multiply
   256,287x = 408,118.50 × 408,118.50
4. Step 4: Simplify right side
   256,287x = 166,560,710,042.25
5. Step 5: Solve for x
   x = 166,560,710,042.25/256,287
6. Step 6: Final answer
   x = 649,899.18