Finding the Third Proportional to 105,210 and 225,192

Step by Step Solution

1. Step 1: Write the proportion equation
   105,210 : 225,192 = 225,192 : x
2. Step 2: Convert to fraction form
   105,210/225,192 = 225,192/x
3. Step 3: Cross multiply
   105,210x = 225,192 × 225,192
4. Step 4: Simplify right side
   105,210x = 50,711,436,864
5. Step 5: Solve for x
   x = 50,711,436,864/105,210
6. Step 6: Final answer
   x = 482,002.06