Finding the Third Proportional to 196.50 and 296.25

Step by Step Solution

1. Step 1: Write the proportion equation
   196.50 : 296.25 = 296.25 : x
2. Step 2: Convert to fraction form
   196.50/296.25 = 296.25/x
3. Step 3: Cross multiply
   196.50x = 296.25 × 296.25
4. Step 4: Simplify right side
   196.50x = 87,764.06
5. Step 5: Solve for x
   x = 87,764.06/196.50
6. Step 6: Final answer
   x = 446.64