Finding the Third Proportional to 105,336 and 225,504

Step by Step Solution

1. Step 1: Write the proportion equation
   105,336 : 225,504 = 225,504 : x
2. Step 2: Convert to fraction form
   105,336/225,504 = 225,504/x
3. Step 3: Cross multiply
   105,336x = 225,504 × 225,504
4. Step 4: Simplify right side
   105,336x = 50,852,054,016
5. Step 5: Solve for x
   x = 50,852,054,016/105,336
6. Step 6: Final answer
   x = 482,760.44