Finding the Third Proportional to 144.56 and 182.81

Step by Step Solution

1. Step 1: Write the proportion equation
   144.56 : 182.81 = 182.81 : x
2. Step 2: Convert to fraction form
   144.56/182.81 = 182.81/x
3. Step 3: Cross multiply
   144.56x = 182.81 × 182.81
4. Step 4: Simplify right side
   144.56x = 33,420.41
5. Step 5: Solve for x
   x = 33,420.41/144.56
6. Step 6: Final answer
   x = 231.18