Finding the Third Proportional to 82.19 and 128.94

Step by Step Solution

1. Step 1: Write the proportion equation
   82.19 : 128.94 = 128.94 : x
2. Step 2: Convert to fraction form
   82.19/128.94 = 128.94/x
3. Step 3: Cross multiply
   82.19x = 128.94 × 128.94
4. Step 4: Simplify right side
   82.19x = 16,624.88
5. Step 5: Solve for x
   x = 16,624.88/82.19
6. Step 6: Final answer
   x = 202.28