Finding the Third Proportional to 150.56 and 252.56

Step by Step Solution

1. Step 1: Write the proportion equation
   150.56 : 252.56 = 252.56 : x
2. Step 2: Convert to fraction form
   150.56/252.56 = 252.56/x
3. Step 3: Cross multiply
   150.56x = 252.56 × 252.56
4. Step 4: Simplify right side
   150.56x = 63,787.82
5. Step 5: Solve for x
   x = 63,787.82/150.56
6. Step 6: Final answer
   x = 423.66