Finding the Third Proportional to 105,168 and 225,096

Step by Step Solution

1. Step 1: Write the proportion equation
   105,168 : 225,096 = 225,096 : x
2. Step 2: Convert to fraction form
   105,168/225,096 = 225,096/x
3. Step 3: Cross multiply
   105,168x = 225,096 × 225,096
4. Step 4: Simplify right side
   105,168x = 50,668,209,216
5. Step 5: Solve for x
   x = 50,668,209,216/105,168
6. Step 6: Final answer
   x = 481,783.52