Finding the Third Proportional to 123,557 and 267,850

Step by Step Solution

1. Step 1: Write the proportion equation
   123,557 : 267,850 = 267,850 : x
2. Step 2: Convert to fraction form
   123,557/267,850 = 267,850/x
3. Step 3: Cross multiply
   123,557x = 267,850 × 267,850
4. Step 4: Simplify right side
   123,557x = 71,743,622,500
5. Step 5: Solve for x
   x = 71,743,622,500/123,557
6. Step 6: Final answer
   x = 580,652.03