Finding the Third Proportional to 196.80 and 289.20

Step by Step Solution

1. Step 1: Write the proportion equation
   196.80 : 289.20 = 289.20 : x
2. Step 2: Convert to fraction form
   196.80/289.20 = 289.20/x
3. Step 3: Cross multiply
   196.80x = 289.20 × 289.20
4. Step 4: Simplify right side
   196.80x = 83,633.93
5. Step 5: Solve for x
   x = 83,633.93/196.80
6. Step 6: Final answer
   x = 424.96