Finding the Third Proportional to 126,787.50 and 267,723

Step by Step Solution

1. Step 1: Write the proportion equation
   126,787.50 : 267,723 = 267,723 : x
2. Step 2: Convert to fraction form
   126,787.50/267,723 = 267,723/x
3. Step 3: Cross multiply
   126,787.50x = 267,723 × 267,723
4. Step 4: Simplify right side
   126,787.50x = 71,675,604,729
5. Step 5: Solve for x
   x = 71,675,604,729/126,787.50
6. Step 6: Final answer
   x = 565,320.75