Finding the Third Proportional to 123,124.50 and 267,815.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,124.50 : 267,815.25 = 267,815.25 : x
2. Step 2: Convert to fraction form
   123,124.50/267,815.25 = 267,815.25/x
3. Step 3: Cross multiply
   123,124.50x = 267,815.25 × 267,815.25
4. Step 4: Simplify right side
   123,124.50x = 71,725,008,132.56
5. Step 5: Solve for x
   x = 71,725,008,132.56/123,124.50
6. Step 6: Final answer
   x = 582,540.50