Finding the Third Proportional to 105,240 and 225,408

Step by Step Solution

1. Step 1: Write the proportion equation
   105,240 : 225,408 = 225,408 : x
2. Step 2: Convert to fraction form
   105,240/225,408 = 225,408/x
3. Step 3: Cross multiply
   105,240x = 225,408 × 225,408
4. Step 4: Simplify right side
   105,240x = 50,808,766,464
5. Step 5: Solve for x
   x = 50,808,766,464/105,240
6. Step 6: Final answer
   x = 482,789.50