Finding the Third Proportional to 82.29 and 179.05

Step by Step Solution

1. Step 1: Write the proportion equation
   82.29 : 179.05 = 179.05 : x
2. Step 2: Convert to fraction form
   82.29/179.05 = 179.05/x
3. Step 3: Cross multiply
   82.29x = 179.05 × 179.05
4. Step 4: Simplify right side
   82.29x = 32,057.61
5. Step 5: Solve for x
   x = 32,057.61/82.29
6. Step 6: Final answer
   x = 389.59