Finding the Third Proportional to 105.56 and 229.13

Step by Step Solution

1. Step 1: Write the proportion equation
   105.56 : 229.13 = 229.13 : x
2. Step 2: Convert to fraction form
   105.56/229.13 = 229.13/x
3. Step 3: Cross multiply
   105.56x = 229.13 × 229.13
4. Step 4: Simplify right side
   105.56x = 52,498.27
5. Step 5: Solve for x
   x = 52,498.27/105.56
6. Step 6: Final answer
   x = 497.32