Finding the Third Proportional to 196.31 and 411.47

Step by Step Solution

1. Step 1: Write the proportion equation
   196.31 : 411.47 = 411.47 : x
2. Step 2: Convert to fraction form
   196.31/411.47 = 411.47/x
3. Step 3: Cross multiply
   196.31x = 411.47 × 411.47
4. Step 4: Simplify right side
   196.31x = 169,306.53
5. Step 5: Solve for x
   x = 169,306.53/196.31
6. Step 6: Final answer
   x = 862.43