Finding the Third Proportional to 123,880 and 267,632

Step by Step Solution

1. Step 1: Write the proportion equation
   123,880 : 267,632 = 267,632 : x
2. Step 2: Convert to fraction form
   123,880/267,632 = 267,632/x
3. Step 3: Cross multiply
   123,880x = 267,632 × 267,632
4. Step 4: Simplify right side
   123,880x = 71,626,887,424
5. Step 5: Solve for x
   x = 71,626,887,424/123,880
6. Step 6: Final answer
   x = 578,195.73