Finding the Third Proportional to 196.75 and 401.75

Step by Step Solution

1. Step 1: Write the proportion equation
   196.75 : 401.75 = 401.75 : x
2. Step 2: Convert to fraction form
   196.75/401.75 = 401.75/x
3. Step 3: Cross multiply
   196.75x = 401.75 × 401.75
4. Step 4: Simplify right side
   196.75x = 161,403.06
5. Step 5: Solve for x
   x = 161,403.06/196.75
6. Step 6: Final answer
   x = 820.35