Finding the Third Proportional to 123,959 and 271,665

Step by Step Solution

1. Step 1: Write the proportion equation
   123,959 : 271,665 = 271,665 : x
2. Step 2: Convert to fraction form
   123,959/271,665 = 271,665/x
3. Step 3: Cross multiply
   123,959x = 271,665 × 271,665
4. Step 4: Simplify right side
   123,959x = 73,801,872,225
5. Step 5: Solve for x
   x = 73,801,872,225/123,959
6. Step 6: Final answer
   x = 595,373.25