Finding the Third Proportional to 262,544 and 404,048

Step by Step Solution

1. Step 1: Write the proportion equation
   262,544 : 404,048 = 404,048 : x
2. Step 2: Convert to fraction form
   262,544/404,048 = 404,048/x
3. Step 3: Cross multiply
   262,544x = 404,048 × 404,048
4. Step 4: Simplify right side
   262,544x = 163,254,786,304
5. Step 5: Solve for x
   x = 163,254,786,304/262,544
6. Step 6: Final answer
   x = 621,818.77