Finding the Third Proportional to 82.27 and 179.09

Step by Step Solution

1. Step 1: Write the proportion equation
   82.27 : 179.09 = 179.09 : x
2. Step 2: Convert to fraction form
   82.27/179.09 = 179.09/x
3. Step 3: Cross multiply
   82.27x = 179.09 × 179.09
4. Step 4: Simplify right side
   82.27x = 32,071.77
5. Step 5: Solve for x
   x = 32,071.77/82.27
6. Step 6: Final answer
   x = 389.86