Finding the Third Proportional to 127,002 and 271,498

Step by Step Solution

1. Step 1: Write the proportion equation
   127,002 : 271,498 = 271,498 : x
2. Step 2: Convert to fraction form
   127,002/271,498 = 271,498/x
3. Step 3: Cross multiply
   127,002x = 271,498 × 271,498
4. Step 4: Simplify right side
   127,002x = 73,711,164,004
5. Step 5: Solve for x
   x = 73,711,164,004/127,002
6. Step 6: Final answer
   x = 580,393.73