Finding the Third Proportional to 105,332 and 225,488

Step by Step Solution

1. Step 1: Write the proportion equation
   105,332 : 225,488 = 225,488 : x
2. Step 2: Convert to fraction form
   105,332/225,488 = 225,488/x
3. Step 3: Cross multiply
   105,332x = 225,488 × 225,488
4. Step 4: Simplify right side
   105,332x = 50,844,838,144
5. Step 5: Solve for x
   x = 50,844,838,144/105,332
6. Step 6: Final answer
   x = 482,710.27