Finding the Third Proportional to 123,128 and 267,822

Step by Step Solution

1. Step 1: Write the proportion equation
   123,128 : 267,822 = 267,822 : x
2. Step 2: Convert to fraction form
   123,128/267,822 = 267,822/x
3. Step 3: Cross multiply
   123,128x = 267,822 × 267,822
4. Step 4: Simplify right side
   123,128x = 71,728,623,684
5. Step 5: Solve for x
   x = 71,728,623,684/123,128
6. Step 6: Final answer
   x = 582,553.31