Finding the Third Proportional to 126.75 and 271.31

Step by Step Solution

1. Step 1: Write the proportion equation
   126.75 : 271.31 = 271.31 : x
2. Step 2: Convert to fraction form
   126.75/271.31 = 271.31/x
3. Step 3: Cross multiply
   126.75x = 271.31 × 271.31
4. Step 4: Simplify right side
   126.75x = 73,610.47
5. Step 5: Solve for x
   x = 73,610.47/126.75
6. Step 6: Final answer
   x = 580.75