Finding the Third Proportional to 105,628 and 229,472

Step by Step Solution

1. Step 1: Write the proportion equation
   105,628 : 229,472 = 229,472 : x
2. Step 2: Convert to fraction form
   105,628/229,472 = 229,472/x
3. Step 3: Cross multiply
   105,628x = 229,472 × 229,472
4. Step 4: Simplify right side
   105,628x = 52,657,398,784
5. Step 5: Solve for x
   x = 52,657,398,784/105,628
6. Step 6: Final answer
   x = 498,517.43