Finding the Third Proportional to 127,072 and 271,008

Step by Step Solution

1. Step 1: Write the proportion equation
   127,072 : 271,008 = 271,008 : x
2. Step 2: Convert to fraction form
   127,072/271,008 = 271,008/x
3. Step 3: Cross multiply
   127,072x = 271,008 × 271,008
4. Step 4: Simplify right side
   127,072x = 73,445,336,064
5. Step 5: Solve for x
   x = 73,445,336,064/127,072
6. Step 6: Final answer
   x = 577,982.06