Finding the Third Proportional to 225,678 and 495,636

Step by Step Solution

1. Step 1: Write the proportion equation
   225,678 : 495,636 = 495,636 : x
2. Step 2: Convert to fraction form
   225,678/495,636 = 495,636/x
3. Step 3: Cross multiply
   225,678x = 495,636 × 495,636
4. Step 4: Simplify right side
   225,678x = 245,655,044,496
5. Step 5: Solve for x
   x = 245,655,044,496/225,678
6. Step 6: Final answer
   x = 1,088,520.12