Finding the Third Proportional to 187,686 and 404,896

Step by Step Solution

1. Step 1: Write the proportion equation
   187,686 : 404,896 = 404,896 : x
2. Step 2: Convert to fraction form
   187,686/404,896 = 404,896/x
3. Step 3: Cross multiply
   187,686x = 404,896 × 404,896
4. Step 4: Simplify right side
   187,686x = 163,940,770,816
5. Step 5: Solve for x
   x = 163,940,770,816/187,686
6. Step 6: Final answer
   x = 873,484.28