Finding the Third Proportional to 196.50 and 297.28

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 297.28 = 297.28 : x
2. Step 2: Convert to fraction form
   196.50/297.28 = 297.28/x
3. Step 3: Cross multiply
   196.50x = 297.28 × 297.28
4. Step 4: Simplify right side
   196.50x = 88,376.14
5. Step 5: Solve for x
   x = 88,376.14/196.50
6. Step 6: Final answer
   x = 449.75