Finding the Third Proportional to 83.06 and 179.06

Step by Step Solution

1. Step 1: Write the proportion equation
   83.06 : 179.06 = 179.06 : x
2. Step 2: Convert to fraction form
   83.06/179.06 = 179.06/x
3. Step 3: Cross multiply
   83.06x = 179.06 × 179.06
4. Step 4: Simplify right side
   83.06x = 32,063.38
5. Step 5: Solve for x
   x = 32,063.38/83.06
6. Step 6: Final answer
   x = 386.02