Finding the Third Proportional to 82.27 and 166.78

Step by Step Solution

1. Step 1: Write the proportion equation
   82.27 : 166.78 = 166.78 : x
2. Step 2: Convert to fraction form
   82.27/166.78 = 166.78/x
3. Step 3: Cross multiply
   82.27x = 166.78 × 166.78
4. Step 4: Simplify right side
   82.27x = 27,815.99
5. Step 5: Solve for x
   x = 27,815.99/82.27
6. Step 6: Final answer
   x = 338.12