Finding the Third Proportional to 105,418 and 225,644

Step by Step Solution

1. Step 1: Write the proportion equation
   105,418 : 225,644 = 225,644 : x
2. Step 2: Convert to fraction form
   105,418/225,644 = 225,644/x
3. Step 3: Cross multiply
   105,418x = 225,644 × 225,644
4. Step 4: Simplify right side
   105,418x = 50,915,214,736
5. Step 5: Solve for x
   x = 50,915,214,736/105,418
6. Step 6: Final answer
   x = 482,984.07