Finding the Third Proportional to 150 and 200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150 : 200.50 = 200.50 : x
2. Step 2: Convert to fraction form
   150/200.50 = 200.50/x
3. Step 3: Cross multiply
   150x = 200.50 × 200.50
4. Step 4: Simplify right side
   150x = 40,200.25
5. Step 5: Solve for x
   x = 40,200.25/150
6. Step 6: Final answer
   x = 268.00