Finding the Third Proportional to 80.29 and 166.27

Step by Step Solution

1. Step 1: Write the proportion equation
   80.29 : 166.27 = 166.27 : x
2. Step 2: Convert to fraction form
   80.29/166.27 = 166.27/x
3. Step 3: Cross multiply
   80.29x = 166.27 × 166.27
4. Step 4: Simplify right side
   80.29x = 27,646.21
5. Step 5: Solve for x
   x = 27,646.21/80.29
6. Step 6: Final answer
   x = 344.34