Finding the Third Proportional to 196.75 and 330.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.75 : 330.38 = 330.38 : x
2. Step 2: Convert to fraction form
   196.75/330.38 = 330.38/x
3. Step 3: Cross multiply
   196.75x = 330.38 × 330.38
4. Step 4: Simplify right side
   196.75x = 109,147.64
5. Step 5: Solve for x
   x = 109,147.64/196.75
6. Step 6: Final answer
   x = 554.75