Finding the Third Proportional to 105.47 and 229.92

Step by Step Solution

1. Step 1: Write the proportion equation
   105.47 : 229.92 = 229.92 : x
2. Step 2: Convert to fraction form
   105.47/229.92 = 229.92/x
3. Step 3: Cross multiply
   105.47x = 229.92 × 229.92
4. Step 4: Simplify right side
   105.47x = 52,864.07
5. Step 5: Solve for x
   x = 52,864.07/105.47
6. Step 6: Final answer
   x = 501.23