Finding the Third Proportional to 105,429 and 229,569

Step by Step Solution

1. Step 1: Write the proportion equation
   105,429 : 229,569 = 229,569 : x
2. Step 2: Convert to fraction form
   105,429/229,569 = 229,569/x
3. Step 3: Cross multiply
   105,429x = 229,569 × 229,569
4. Step 4: Simplify right side
   105,429x = 52,701,925,761
5. Step 5: Solve for x
   x = 52,701,925,761/105,429
6. Step 6: Final answer
   x = 499,880.73