Finding the Third Proportional to 76.83 and 158.91

Step by Step Solution

1. Step 1: Write the proportion equation
   76.83 : 158.91 = 158.91 : x
2. Step 2: Convert to fraction form
   76.83/158.91 = 158.91/x
3. Step 3: Cross multiply
   76.83x = 158.91 × 158.91
4. Step 4: Simplify right side
   76.83x = 25,251.20
5. Step 5: Solve for x
   x = 25,251.20/76.83
6. Step 6: Final answer
   x = 328.67