Finding the Third Proportional to 123,868 and 267,608

Step by Step Solution

1. Step 1: Write the proportion equation
   123,868 : 267,608 = 267,608 : x
2. Step 2: Convert to fraction form
   123,868/267,608 = 267,608/x
3. Step 3: Cross multiply
   123,868x = 267,608 × 267,608
4. Step 4: Simplify right side
   123,868x = 71,614,041,664
5. Step 5: Solve for x
   x = 71,614,041,664/123,868
6. Step 6: Final answer
   x = 578,148.04