Finding the Third Proportional to 82.27 and 128.46

Step by Step Solution

1. Step 1: Write the proportion equation
   82.27 : 128.46 = 128.46 : x
2. Step 2: Convert to fraction form
   82.27/128.46 = 128.46/x
3. Step 3: Cross multiply
   82.27x = 128.46 × 128.46
4. Step 4: Simplify right side
   82.27x = 16,502.21
5. Step 5: Solve for x
   x = 16,502.21/82.27
6. Step 6: Final answer
   x = 200.60