Finding the Third Proportional to 150.56 and 200.16

Step by Step Solution

1. Step 1: Write the proportion equation
   150.56 : 200.16 = 200.16 : x
2. Step 2: Convert to fraction form
   150.56/200.16 = 200.16/x
3. Step 3: Cross multiply
   150.56x = 200.16 × 200.16
4. Step 4: Simplify right side
   150.56x = 40,062.52
5. Step 5: Solve for x
   x = 40,062.52/150.56
6. Step 6: Final answer
   x = 266.09