Finding the Third Proportional to 123,648 and 267,006

Step by Step Solution

1. Step 1: Write the proportion equation
   123,648 : 267,006 = 267,006 : x
2. Step 2: Convert to fraction form
   123,648/267,006 = 267,006/x
3. Step 3: Cross multiply
   123,648x = 267,006 × 267,006
4. Step 4: Simplify right side
   123,648x = 71,292,204,036
5. Step 5: Solve for x
   x = 71,292,204,036/123,648
6. Step 6: Final answer
   x = 576,573.86