Finding the Third Proportional to 82.70 and 179.17

Step by Step Solution

1. Step 1: Write the proportion equation
   82.70 : 179.17 = 179.17 : x
2. Step 2: Convert to fraction form
   82.70/179.17 = 179.17/x
3. Step 3: Cross multiply
   82.70x = 179.17 × 179.17
4. Step 4: Simplify right side
   82.70x = 32,100.11
5. Step 5: Solve for x
   x = 32,100.11/82.70
6. Step 6: Final answer
   x = 388.15