Finding the Third Proportional to 82.94 and 128.88

Step by Step Solution

1. Step 1: Write the proportion equation
   82.94 : 128.88 = 128.88 : x
2. Step 2: Convert to fraction form
   82.94/128.88 = 128.88/x
3. Step 3: Cross multiply
   82.94x = 128.88 × 128.88
4. Step 4: Simplify right side
   82.94x = 16,608.77
5. Step 5: Solve for x
   x = 16,608.77/82.94
6. Step 6: Final answer
   x = 200.26