Finding the Third Proportional to 222 and 296.50

Step by Step Solution

1. Step 1: Write the proportion equation
   222 : 296.50 = 296.50 : x
2. Step 2: Convert to fraction form
   222/296.50 = 296.50/x
3. Step 3: Cross multiply
   222x = 296.50 × 296.50
4. Step 4: Simplify right side
   222x = 87,912.25
5. Step 5: Solve for x
   x = 87,912.25/222
6. Step 6: Final answer
   x = 396.00