Finding the Third Proportional to 123,870 and 267,612

Step by Step Solution

1. Step 1: Write the proportion equation
   123,870 : 267,612 = 267,612 : x
2. Step 2: Convert to fraction form
   123,870/267,612 = 267,612/x
3. Step 3: Cross multiply
   123,870x = 267,612 × 267,612
4. Step 4: Simplify right side
   123,870x = 71,616,182,544
5. Step 5: Solve for x
   x = 71,616,182,544/123,870
6. Step 6: Final answer
   x = 578,155.99