Finding the Third Proportional to 123,648 and 267,008

Step by Step Solution

1. Step 1: Write the proportion equation
   123,648 : 267,008 = 267,008 : x
2. Step 2: Convert to fraction form
   123,648/267,008 = 267,008/x
3. Step 3: Cross multiply
   123,648x = 267,008 × 267,008
4. Step 4: Simplify right side
   123,648x = 71,293,272,064
5. Step 5: Solve for x
   x = 71,293,272,064/123,648
6. Step 6: Final answer
   x = 576,582.49