Finding the Third Proportional to 144.56 and 302.81

Step by Step Solution

1. Step 1: Write the proportion equation
   144.56 : 302.81 = 302.81 : x
2. Step 2: Convert to fraction form
   144.56/302.81 = 302.81/x
3. Step 3: Cross multiply
   144.56x = 302.81 × 302.81
4. Step 4: Simplify right side
   144.56x = 91,695.41
5. Step 5: Solve for x
   x = 91,695.41/144.56
6. Step 6: Final answer
   x = 634.30