Finding the Third Proportional to 196.97 and 403.69

Step by Step Solution

1. Step 1: Write the proportion equation
   196.97 : 403.69 = 403.69 : x
2. Step 2: Convert to fraction form
   196.97/403.69 = 403.69/x
3. Step 3: Cross multiply
   196.97x = 403.69 × 403.69
4. Step 4: Simplify right side
   196.97x = 162,963.60
5. Step 5: Solve for x
   x = 162,963.60/196.97
6. Step 6: Final answer
   x = 827.36