Finding the Third Proportional to 105,350 and 229,636

Step by Step Solution

1. Step 1: Write the proportion equation
   105,350 : 229,636 = 229,636 : x
2. Step 2: Convert to fraction form
   105,350/229,636 = 229,636/x
3. Step 3: Cross multiply
   105,350x = 229,636 × 229,636
4. Step 4: Simplify right side
   105,350x = 52,732,692,496
5. Step 5: Solve for x
   x = 52,732,692,496/105,350
6. Step 6: Final answer
   x = 500,547.63