Finding the Third Proportional to 261,596 and 404,976

Step by Step Solution

1. Step 1: Write the proportion equation
   261,596 : 404,976 = 404,976 : x
2. Step 2: Convert to fraction form
   261,596/404,976 = 404,976/x
3. Step 3: Cross multiply
   261,596x = 404,976 × 404,976
4. Step 4: Simplify right side
   261,596x = 164,005,560,576
5. Step 5: Solve for x
   x = 164,005,560,576/261,596
6. Step 6: Final answer
   x = 626,942.16