Finding the Third Proportional to 116,249 and 258,802

Step by Step Solution

1. Step 1: Write the proportion equation
   116,249 : 258,802 = 258,802 : x
2. Step 2: Convert to fraction form
   116,249/258,802 = 258,802/x
3. Step 3: Cross multiply
   116,249x = 258,802 × 258,802
4. Step 4: Simplify right side
   116,249x = 66,978,475,204
5. Step 5: Solve for x
   x = 66,978,475,204/116,249
6. Step 6: Final answer
   x = 576,163.88