Finding the Third Proportional to 81.52 and 171.59

Step by Step Solution

1. Step 1: Write the proportion equation
   81.52 : 171.59 = 171.59 : x
2. Step 2: Convert to fraction form
   81.52/171.59 = 171.59/x
3. Step 3: Cross multiply
   81.52x = 171.59 × 171.59
4. Step 4: Simplify right side
   81.52x = 29,441.73
5. Step 5: Solve for x
   x = 29,441.73/81.52
6. Step 6: Final answer
   x = 361.18