Finding the Third Proportional to 196.75 and 464.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.75 : 464.38 = 464.38 : x
2. Step 2: Convert to fraction form
   196.75/464.38 = 464.38/x
3. Step 3: Cross multiply
   196.75x = 464.38 × 464.38
4. Step 4: Simplify right side
   196.75x = 215,644.14
5. Step 5: Solve for x
   x = 215,644.14/196.75
6. Step 6: Final answer
   x = 1,096.03