Finding the Third Proportional to 196.50 and 481.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 481.38 = 481.38 : x
2. Step 2: Convert to fraction form
   196.50/481.38 = 481.38/x
3. Step 3: Cross multiply
   196.50x = 481.38 × 481.38
4. Step 4: Simplify right side
   196.50x = 231,721.89
5. Step 5: Solve for x
   x = 231,721.89/196.50
6. Step 6: Final answer
   x = 1,179.25