Finding the Third Proportional to 234,569 and 512,150

Step by Step Solution

1. Step 1: Write the proportion equation
   234,569 : 512,150 = 512,150 : x
2. Step 2: Convert to fraction form
   234,569/512,150 = 512,150/x
3. Step 3: Cross multiply
   234,569x = 512,150 × 512,150
4. Step 4: Simplify right side
   234,569x = 262,297,622,500
5. Step 5: Solve for x
   x = 262,297,622,500/234,569
6. Step 6: Final answer
   x = 1,118,210.94