Finding the Third Proportional to 262,528 and 404,016

Step by Step Solution

1. Step 1: Write the proportion equation
   262,528 : 404,016 = 404,016 : x
2. Step 2: Convert to fraction form
   262,528/404,016 = 404,016/x
3. Step 3: Cross multiply
   262,528x = 404,016 × 404,016
4. Step 4: Simplify right side
   262,528x = 163,228,928,256
5. Step 5: Solve for x
   x = 163,228,928,256/262,528
6. Step 6: Final answer
   x = 621,758.17