Finding the Third Proportional to 80.21 and 175.61

Step by Step Solution

1. Step 1: Write the proportion equation
   80.21 : 175.61 = 175.61 : x
2. Step 2: Convert to fraction form
   80.21/175.61 = 175.61/x
3. Step 3: Cross multiply
   80.21x = 175.61 × 175.61
4. Step 4: Simplify right side
   80.21x = 30,837.28
5. Step 5: Solve for x
   x = 30,837.28/80.21
6. Step 6: Final answer
   x = 384.46