Finding the Third Proportional to 80.56 and 119.69

Step by Step Solution

1. Step 1: Write the proportion equation
   80.56 : 119.69 = 119.69 : x
2. Step 2: Convert to fraction form
   80.56/119.69 = 119.69/x
3. Step 3: Cross multiply
   80.56x = 119.69 × 119.69
4. Step 4: Simplify right side
   80.56x = 14,325.10
5. Step 5: Solve for x
   x = 14,325.10/80.56
6. Step 6: Final answer
   x = 177.81