Finding the Third Proportional to 171.56 and 271.27

Step by Step Solution

1. Step 1: Write the proportion equation
   171.56 : 271.27 = 271.27 : x
2. Step 2: Convert to fraction form
   171.56/271.27 = 271.27/x
3. Step 3: Cross multiply
   171.56x = 271.27 × 271.27
4. Step 4: Simplify right side
   171.56x = 73,585.04
5. Step 5: Solve for x
   x = 73,585.04/171.56
6. Step 6: Final answer
   x = 428.91