Finding the Third Proportional to 105,024 and 225,648

Step by Step Solution

1. Step 1: Write the proportion equation
   105,024 : 225,648 = 225,648 : x
2. Step 2: Convert to fraction form
   105,024/225,648 = 225,648/x
3. Step 3: Cross multiply
   105,024x = 225,648 × 225,648
4. Step 4: Simplify right side
   105,024x = 50,917,019,904
5. Step 5: Solve for x
   x = 50,917,019,904/105,024
6. Step 6: Final answer
   x = 484,813.18