Finding the Third Proportional to 127.88 and 271.06

Step by Step Solution

1. Step 1: Write the proportion equation
   127.88 : 271.06 = 271.06 : x
2. Step 2: Convert to fraction form
   127.88/271.06 = 271.06/x
3. Step 3: Cross multiply
   127.88x = 271.06 × 271.06
4. Step 4: Simplify right side
   127.88x = 73,474.88
5. Step 5: Solve for x
   x = 73,474.88/127.88
6. Step 6: Final answer
   x = 574.58