Finding the Third Proportional to 196.80 and 276.54

Step by Step Solution

1. Step 1: Write the proportion equation
   196.80 : 276.54 = 276.54 : x
2. Step 2: Convert to fraction form
   196.80/276.54 = 276.54/x
3. Step 3: Cross multiply
   196.80x = 276.54 × 276.54
4. Step 4: Simplify right side
   196.80x = 76,473.85
5. Step 5: Solve for x
   x = 76,473.85/196.80
6. Step 6: Final answer
   x = 388.58