Finding the Third Proportional to 225,642 and 495,564

Step by Step Solution

1. Step 1: Write the proportion equation
   225,642 : 495,564 = 495,564 : x
2. Step 2: Convert to fraction form
   225,642/495,564 = 495,564/x
3. Step 3: Cross multiply
   225,642x = 495,564 × 495,564
4. Step 4: Simplify right side
   225,642x = 245,583,678,096
5. Step 5: Solve for x
   x = 245,583,678,096/225,642
6. Step 6: Final answer
   x = 1,088,377.51