Finding the Third Proportional to 105,348 and 225,459

Step by Step Solution

1. Step 1: Write the proportion equation
   105,348 : 225,459 = 225,459 : x
2. Step 2: Convert to fraction form
   105,348/225,459 = 225,459/x
3. Step 3: Cross multiply
   105,348x = 225,459 × 225,459
4. Step 4: Simplify right side
   105,348x = 50,831,760,681
5. Step 5: Solve for x
   x = 50,831,760,681/105,348
6. Step 6: Final answer
   x = 482,512.82