Finding the Third Proportional to 184,288 and 401,924

Step by Step Solution

1. Step 1: Write the proportion equation
   184,288 : 401,924 = 401,924 : x
2. Step 2: Convert to fraction form
   184,288/401,924 = 401,924/x
3. Step 3: Cross multiply
   184,288x = 401,924 × 401,924
4. Step 4: Simplify right side
   184,288x = 161,542,901,776
5. Step 5: Solve for x
   x = 161,542,901,776/184,288
6. Step 6: Final answer
   x = 876,578.52