Finding the Third Proportional to 80.06 and 169.69

Step by Step Solution

1. Step 1: Write the proportion equation
   80.06 : 169.69 = 169.69 : x
2. Step 2: Convert to fraction form
   80.06/169.69 = 169.69/x
3. Step 3: Cross multiply
   80.06x = 169.69 × 169.69
4. Step 4: Simplify right side
   80.06x = 28,793.85
5. Step 5: Solve for x
   x = 28,793.85/80.06
6. Step 6: Final answer
   x = 359.64