Finding the Third Proportional to 123,080 and 267,760

Step by Step Solution

1. Step 1: Write the proportion equation
   123,080 : 267,760 = 267,760 : x
2. Step 2: Convert to fraction form
   123,080/267,760 = 267,760/x
3. Step 3: Cross multiply
   123,080x = 267,760 × 267,760
4. Step 4: Simplify right side
   123,080x = 71,695,417,600
5. Step 5: Solve for x
   x = 71,695,417,600/123,080
6. Step 6: Final answer
   x = 582,510.71