Finding the Third Proportional to 123,385.50 and 267,913.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,385.50 : 267,913.50 = 267,913.50 : x
2. Step 2: Convert to fraction form
   123,385.50/267,913.50 = 267,913.50/x
3. Step 3: Cross multiply
   123,385.50x = 267,913.50 × 267,913.50
4. Step 4: Simplify right side
   123,385.50x = 71,777,643,482.25
5. Step 5: Solve for x
   x = 71,777,643,482.25/123,385.50
6. Step 6: Final answer
   x = 581,734.83