Finding the Third Proportional to 123,204 and 267,128

Step by Step Solution

1. Step 1: Write the proportion equation
   123,204 : 267,128 = 267,128 : x
2. Step 2: Convert to fraction form
   123,204/267,128 = 267,128/x
3. Step 3: Cross multiply
   123,204x = 267,128 × 267,128
4. Step 4: Simplify right side
   123,204x = 71,357,368,384
5. Step 5: Solve for x
   x = 71,357,368,384/123,204
6. Step 6: Final answer
   x = 579,180.61