Finding the Third Proportional to 196.03 and 421.03

Step by Step Solution

1. Step 1: Write the proportion equation
   196.03 : 421.03 = 421.03 : x
2. Step 2: Convert to fraction form
   196.03/421.03 = 421.03/x
3. Step 3: Cross multiply
   196.03x = 421.03 × 421.03
4. Step 4: Simplify right side
   196.03x = 177,267.31
5. Step 5: Solve for x
   x = 177,267.31/196.03
6. Step 6: Final answer
   x = 904.28