Finding the Third Proportional to 105.88 and 229.63

Step by Step Solution

1. Step 1: Write the proportion equation
   105.88 : 229.63 = 229.63 : x
2. Step 2: Convert to fraction form
   105.88/229.63 = 229.63/x
3. Step 3: Cross multiply
   105.88x = 229.63 × 229.63
4. Step 4: Simplify right side
   105.88x = 52,727.64
5. Step 5: Solve for x
   x = 52,727.64/105.88
6. Step 6: Final answer
   x = 498.02