Finding the Third Proportional to 127,001 and 271,496

Step by Step Solution

1. Step 1: Write the proportion equation
   127,001 : 271,496 = 271,496 : x
2. Step 2: Convert to fraction form
   127,001/271,496 = 271,496/x
3. Step 3: Cross multiply
   127,001x = 271,496 × 271,496
4. Step 4: Simplify right side
   127,001x = 73,710,078,016
5. Step 5: Solve for x
   x = 73,710,078,016/127,001
6. Step 6: Final answer
   x = 580,389.75