Finding the Third Proportional to 258,576 and 554,016

Step by Step Solution

1. Step 1: Write the proportion equation
   258,576 : 554,016 = 554,016 : x
2. Step 2: Convert to fraction form
   258,576/554,016 = 554,016/x
3. Step 3: Cross multiply
   258,576x = 554,016 × 554,016
4. Step 4: Simplify right side
   258,576x = 306,933,728,256
5. Step 5: Solve for x
   x = 306,933,728,256/258,576
6. Step 6: Final answer
   x = 1,187,015.53