Finding the Third Proportional to 261,569 and 404,018

Step by Step Solution

1. Step 1: Write the proportion equation
   261,569 : 404,018 = 404,018 : x
2. Step 2: Convert to fraction form
   261,569/404,018 = 404,018/x
3. Step 3: Cross multiply
   261,569x = 404,018 × 404,018
4. Step 4: Simplify right side
   261,569x = 163,230,544,324
5. Step 5: Solve for x
   x = 163,230,544,324/261,569
6. Step 6: Final answer
   x = 624,043.92