Finding the Third Proportional to 196.25 and 421.38

Step by Step Solution

1. Step 1: Write the proportion equation
   196.25 : 421.38 = 421.38 : x
2. Step 2: Convert to fraction form
   196.25/421.38 = 421.38/x
3. Step 3: Cross multiply
   196.25x = 421.38 × 421.38
4. Step 4: Simplify right side
   196.25x = 177,556.89
5. Step 5: Solve for x
   x = 177,556.89/196.25
6. Step 6: Final answer
   x = 904.75