Finding the Third Proportional to 196.50 and 280.88

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 280.88 = 280.88 : x
2. Step 2: Convert to fraction form
   196.50/280.88 = 280.88/x
3. Step 3: Cross multiply
   196.50x = 280.88 × 280.88
4. Step 4: Simplify right side
   196.50x = 78,890.77
5. Step 5: Solve for x
   x = 78,890.77/196.50
6. Step 6: Final answer
   x = 401.48