Finding the Third Proportional to 204 and 333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   204 : 333.50 = 333.50 : x
2. Step 2: Convert to fraction form
   204/333.50 = 333.50/x
3. Step 3: Cross multiply
   204x = 333.50 × 333.50
4. Step 4: Simplify right side
   204x = 111,222.25
5. Step 5: Solve for x
   x = 111,222.25/204
6. Step 6: Final answer
   x = 545.21