Finding the Third Proportional to 105,414 and 225,636

Step by Step Solution

1. Step 1: Write the proportion equation
   105,414 : 225,636 = 225,636 : x
2. Step 2: Convert to fraction form
   105,414/225,636 = 225,636/x
3. Step 3: Cross multiply
   105,414x = 225,636 × 225,636
4. Step 4: Simplify right side
   105,414x = 50,911,604,496
5. Step 5: Solve for x
   x = 50,911,604,496/105,414
6. Step 6: Final answer
   x = 482,968.15