Finding the Third Proportional to 80.79 and 174.02

Step by Step Solution

1. Step 1: Write the proportion equation
   80.79 : 174.02 = 174.02 : x
2. Step 2: Convert to fraction form
   80.79/174.02 = 174.02/x
3. Step 3: Cross multiply
   80.79x = 174.02 × 174.02
4. Step 4: Simplify right side
   80.79x = 30,284.16
5. Step 5: Solve for x
   x = 30,284.16/80.79
6. Step 6: Final answer
   x = 374.85