Finding the Third Proportional to 150.56 and 224.56

Step by Step Solution

1. Step 1: Write the proportion equation
   150.56 : 224.56 = 224.56 : x
2. Step 2: Convert to fraction form
   150.56/224.56 = 224.56/x
3. Step 3: Cross multiply
   150.56x = 224.56 × 224.56
4. Step 4: Simplify right side
   150.56x = 50,428.32
5. Step 5: Solve for x
   x = 50,428.32/150.56
6. Step 6: Final answer
   x = 334.93