Finding the Third Proportional to 282,659 and 404,608

Step by Step Solution

1. Step 1: Write the proportion equation
   282,659 : 404,608 = 404,608 : x
2. Step 2: Convert to fraction form
   282,659/404,608 = 404,608/x
3. Step 3: Cross multiply
   282,659x = 404,608 × 404,608
4. Step 4: Simplify right side
   282,659x = 163,707,633,664
5. Step 5: Solve for x
   x = 163,707,633,664/282,659
6. Step 6: Final answer
   x = 579,170.07