Finding the Third Proportional to 105,185.25 and 225,441

Step by Step Solution

1. Step 1: Write the proportion equation
   105,185.25 : 225,441 = 225,441 : x
2. Step 2: Convert to fraction form
   105,185.25/225,441 = 225,441/x
3. Step 3: Cross multiply
   105,185.25x = 225,441 × 225,441
4. Step 4: Simplify right side
   105,185.25x = 50,823,644,481
5. Step 5: Solve for x
   x = 50,823,644,481/105,185.25
6. Step 6: Final answer
   x = 483,182.24