Finding the Third Proportional to 80.53 and 173.72

Step by Step Solution

1. Step 1: Write the proportion equation
   80.53 : 173.72 = 173.72 : x
2. Step 2: Convert to fraction form
   80.53/173.72 = 173.72/x
3. Step 3: Cross multiply
   80.53x = 173.72 × 173.72
4. Step 4: Simplify right side
   80.53x = 30,178.20
5. Step 5: Solve for x
   x = 30,178.20/80.53
6. Step 6: Final answer
   x = 374.74