Finding the Third Proportional to 196.75 and 411.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.75 : 411.38 = 411.38 : x
2. Step 2: Convert to fraction form
   196.75/411.38 = 411.38/x
3. Step 3: Cross multiply
   196.75x = 411.38 × 411.38
4. Step 4: Simplify right side
   196.75x = 169,229.39
5. Step 5: Solve for x
   x = 169,229.39/196.75
6. Step 6: Final answer
   x = 860.12