Finding the Third Proportional to 80.34 and 175.78

Step by Step Solution

1. Step 1: Write the proportion equation
   80.34 : 175.78 = 175.78 : x
2. Step 2: Convert to fraction form
   80.34/175.78 = 175.78/x
3. Step 3: Cross multiply
   80.34x = 175.78 × 175.78
4. Step 4: Simplify right side
   80.34x = 30,899.05
5. Step 5: Solve for x
   x = 30,899.05/80.34
6. Step 6: Final answer
   x = 384.59