Finding the Third Proportional to 162.56 and 252.56

Step by Step Solution

1. Step 1: Write the proportion equation
   162.56 : 252.56 = 252.56 : x
2. Step 2: Convert to fraction form
   162.56/252.56 = 252.56/x
3. Step 3: Cross multiply
   162.56x = 252.56 × 252.56
4. Step 4: Simplify right side
   162.56x = 63,787.82
5. Step 5: Solve for x
   x = 63,787.82/162.56
6. Step 6: Final answer
   x = 392.39