Finding the Third Proportional to 269,505 and 404,223

Step by Step Solution

1. Step 1: Write the proportion equation
   269,505 : 404,223 = 404,223 : x
2. Step 2: Convert to fraction form
   269,505/404,223 = 404,223/x
3. Step 3: Cross multiply
   269,505x = 404,223 × 404,223
4. Step 4: Simplify right side
   269,505x = 163,396,233,729
5. Step 5: Solve for x
   x = 163,396,233,729/269,505
6. Step 6: Final answer
   x = 606,282.75