Finding the Third Proportional to 105,626 and 229,540

Step by Step Solution

1. Step 1: Write the proportion equation
   105,626 : 229,540 = 229,540 : x
2. Step 2: Convert to fraction form
   105,626/229,540 = 229,540/x
3. Step 3: Cross multiply
   105,626x = 229,540 × 229,540
4. Step 4: Simplify right side
   105,626x = 52,688,611,600
5. Step 5: Solve for x
   x = 52,688,611,600/105,626
6. Step 6: Final answer
   x = 498,822.37