Finding the Third Proportional to 123,982 and 267,642

Step by Step Solution

1. Step 1: Write the proportion equation
   123,982 : 267,642 = 267,642 : x
2. Step 2: Convert to fraction form
   123,982/267,642 = 267,642/x
3. Step 3: Cross multiply
   123,982x = 267,642 × 267,642
4. Step 4: Simplify right side
   123,982x = 71,632,240,164
5. Step 5: Solve for x
   x = 71,632,240,164/123,982
6. Step 6: Final answer
   x = 577,763.23