Finding the Third Proportional to 105.06 and 225.63

Step by Step Solution

1. Step 1: Write the proportion equation
   105.06 : 225.63 = 225.63 : x
2. Step 2: Convert to fraction form
   105.06/225.63 = 225.63/x
3. Step 3: Cross multiply
   105.06x = 225.63 × 225.63
4. Step 4: Simplify right side
   105.06x = 50,906.64
5. Step 5: Solve for x
   x = 50,906.64/105.06
6. Step 6: Final answer
   x = 484.54