Finding the Third Proportional to 82.27 and 128.14

Step by Step Solution

1. Step 1: Write the proportion equation
   82.27 : 128.14 = 128.14 : x
2. Step 2: Convert to fraction form
   82.27/128.14 = 128.14/x
3. Step 3: Cross multiply
   82.27x = 128.14 × 128.14
4. Step 4: Simplify right side
   82.27x = 16,421.02
5. Step 5: Solve for x
   x = 16,421.02/82.27
6. Step 6: Final answer
   x = 199.61