Finding the Third Proportional to 82.27 and 126.42

Step by Step Solution

1. Step 1: Write the proportion equation
   82.27 : 126.42 = 126.42 : x
2. Step 2: Convert to fraction form
   82.27/126.42 = 126.42/x
3. Step 3: Cross multiply
   82.27x = 126.42 × 126.42
4. Step 4: Simplify right side
   82.27x = 15,982.49
5. Step 5: Solve for x
   x = 15,982.49/82.27
6. Step 6: Final answer
   x = 194.28