Finding the Third Proportional to 80.75 and 176.31

Step by Step Solution

1. Step 1: Write the proportion equation
   80.75 : 176.31 = 176.31 : x
2. Step 2: Convert to fraction form
   80.75/176.31 = 176.31/x
3. Step 3: Cross multiply
   80.75x = 176.31 × 176.31
4. Step 4: Simplify right side
   80.75x = 31,086.10
5. Step 5: Solve for x
   x = 31,086.10/80.75
6. Step 6: Final answer
   x = 384.97