Finding the Third Proportional to 81.59 and 176.71

Step by Step Solution

1. Step 1: Write the proportion equation
   81.59 : 176.71 = 176.71 : x
2. Step 2: Convert to fraction form
   81.59/176.71 = 176.71/x
3. Step 3: Cross multiply
   81.59x = 176.71 × 176.71
4. Step 4: Simplify right side
   81.59x = 31,227.45
5. Step 5: Solve for x
   x = 31,227.45/81.59
6. Step 6: Final answer
   x = 382.72