Finding the Third Proportional to 80.20 and 114.69

Step by Step Solution

1. Step 1: Write the proportion equation
   80.20 : 114.69 = 114.69 : x
2. Step 2: Convert to fraction form
   80.20/114.69 = 114.69/x
3. Step 3: Cross multiply
   80.20x = 114.69 × 114.69
4. Step 4: Simplify right side
   80.20x = 13,154.12
5. Step 5: Solve for x
   x = 13,154.12/80.20
6. Step 6: Final answer
   x = 164.01