Finding the Third Proportional to 127,016 and 271,520

Step by Step Solution

1. Step 1: Write the proportion equation
   127,016 : 271,520 = 271,520 : x
2. Step 2: Convert to fraction form
   127,016/271,520 = 271,520/x
3. Step 3: Cross multiply
   127,016x = 271,520 × 271,520
4. Step 4: Simplify right side
   127,016x = 73,723,110,400
5. Step 5: Solve for x
   x = 73,723,110,400/127,016
6. Step 6: Final answer
   x = 580,423.81