Finding the Third Proportional to 123,072 and 267,744

Step by Step Solution

1. Step 1: Write the proportion equation
   123,072 : 267,744 = 267,744 : x
2. Step 2: Convert to fraction form
   123,072/267,744 = 267,744/x
3. Step 3: Cross multiply
   123,072x = 267,744 × 267,744
4. Step 4: Simplify right side
   123,072x = 71,686,849,536
5. Step 5: Solve for x
   x = 71,686,849,536/123,072
6. Step 6: Final answer
   x = 582,478.95