Finding the Third Proportional to 123,338 and 267,412

Step by Step Solution

1. Step 1: Write the proportion equation
   123,338 : 267,412 = 267,412 : x
2. Step 2: Convert to fraction form
   123,338/267,412 = 267,412/x
3. Step 3: Cross multiply
   123,338x = 267,412 × 267,412
4. Step 4: Simplify right side
   123,338x = 71,509,177,744
5. Step 5: Solve for x
   x = 71,509,177,744/123,338
6. Step 6: Final answer
   x = 579,782.21