Finding the Third Proportional to 196.17 and 421.73

Step by Step Solution

1. Step 1: Write the proportion equation
   196.17 : 421.73 = 421.73 : x
2. Step 2: Convert to fraction form
   196.17/421.73 = 421.73/x
3. Step 3: Cross multiply
   196.17x = 421.73 × 421.73
4. Step 4: Simplify right side
   196.17x = 177,859.88
5. Step 5: Solve for x
   x = 177,859.88/196.17
6. Step 6: Final answer
   x = 906.65