Finding the Third Proportional to 267,449.25 and 415,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   267,449.25 : 415,456.50 = 415,456.50 : x
2. Step 2: Convert to fraction form
   267,449.25/415,456.50 = 415,456.50/x
3. Step 3: Cross multiply
   267,449.25x = 415,456.50 × 415,456.50
4. Step 4: Simplify right side
   267,449.25x = 172,604,103,392.25
5. Step 5: Solve for x
   x = 172,604,103,392.25/267,449.25
6. Step 6: Final answer
   x = 645,371.42