Finding the Third Proportional to 106.31 and 171.56

Step by Step Solution

1. Step 1: Write the proportion equation
   106.31 : 171.56 = 171.56 : x
2. Step 2: Convert to fraction form
   106.31/171.56 = 171.56/x
3. Step 3: Cross multiply
   106.31x = 171.56 × 171.56
4. Step 4: Simplify right side
   106.31x = 29,433.69
5. Step 5: Solve for x
   x = 29,433.69/106.31
6. Step 6: Final answer
   x = 276.86