Finding the Third Proportional to 123,025.50 and 267,394.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,025.50 : 267,394.50 = 267,394.50 : x
2. Step 2: Convert to fraction form
   123,025.50/267,394.50 = 267,394.50/x
3. Step 3: Cross multiply
   123,025.50x = 267,394.50 × 267,394.50
4. Step 4: Simplify right side
   123,025.50x = 71,499,818,630.25
5. Step 5: Solve for x
   x = 71,499,818,630.25/123,025.50
6. Step 6: Final answer
   x = 581,178.85