Finding the Third Proportional to 127,008 and 271,530

Step by Step Solution

1. Step 1: Write the proportion equation
   127,008 : 271,530 = 271,530 : x
2. Step 2: Convert to fraction form
   127,008/271,530 = 271,530/x
3. Step 3: Cross multiply
   127,008x = 271,530 × 271,530
4. Step 4: Simplify right side
   127,008x = 73,728,540,900
5. Step 5: Solve for x
   x = 73,728,540,900/127,008
6. Step 6: Final answer
   x = 580,503.13