Finding the Third Proportional to 105,540 and 225,842

Step by Step Solution

1. Step 1: Write the proportion equation
   105,540 : 225,842 = 225,842 : x
2. Step 2: Convert to fraction form
   105,540/225,842 = 225,842/x
3. Step 3: Cross multiply
   105,540x = 225,842 × 225,842
4. Step 4: Simplify right side
   105,540x = 51,004,608,964
5. Step 5: Solve for x
   x = 51,004,608,964/105,540
6. Step 6: Final answer
   x = 483,272.78