Finding the Third Proportional to 128.25 and 196.41

Step by Step Solution

1. Step 1: Write the proportion equation
   128.25 : 196.41 = 196.41 : x
2. Step 2: Convert to fraction form
   128.25/196.41 = 196.41/x
3. Step 3: Cross multiply
   128.25x = 196.41 × 196.41
4. Step 4: Simplify right side
   128.25x = 38,575.42
5. Step 5: Solve for x
   x = 38,575.42/128.25
6. Step 6: Final answer
   x = 300.78