Finding the Third Proportional to 144.56 and 293.63

Step by Step Solution

1. Step 1: Write the proportion equation
   144.56 : 293.63 = 293.63 : x
2. Step 2: Convert to fraction form
   144.56/293.63 = 293.63/x
3. Step 3: Cross multiply
   144.56x = 293.63 × 293.63
4. Step 4: Simplify right side
   144.56x = 86,215.64
5. Step 5: Solve for x
   x = 86,215.64/144.56
6. Step 6: Final answer
   x = 596.39