Finding the Third Proportional to 196.49 and 289.04

Step by Step Solution

1. Step 1: Write the proportion equation
   196.49 : 289.04 = 289.04 : x
2. Step 2: Convert to fraction form
   196.49/289.04 = 289.04/x
3. Step 3: Cross multiply
   196.49x = 289.04 × 289.04
4. Step 4: Simplify right side
   196.49x = 83,542.45
5. Step 5: Solve for x
   x = 83,542.45/196.49
6. Step 6: Final answer
   x = 425.18