Finding the Third Proportional to 76.57 and 158.20

Step by Step Solution

1. Step 1: Write the proportion equation
   76.57 : 158.20 = 158.20 : x
2. Step 2: Convert to fraction form
   76.57/158.20 = 158.20/x
3. Step 3: Cross multiply
   76.57x = 158.20 × 158.20
4. Step 4: Simplify right side
   76.57x = 25,028.23
5. Step 5: Solve for x
   x = 25,028.23/76.57
6. Step 6: Final answer
   x = 326.87