Finding the Third Proportional to 80.50 and 174.25

Step by Step Solution

1. Step 1: Write the proportion equation
   80.50 : 174.25 = 174.25 : x
2. Step 2: Convert to fraction form
   80.50/174.25 = 174.25/x
3. Step 3: Cross multiply
   80.50x = 174.25 × 174.25
4. Step 4: Simplify right side
   80.50x = 30,363.06
5. Step 5: Solve for x
   x = 30,363.06/80.50
6. Step 6: Final answer
   x = 377.18