Finding the Third Proportional to 184,584 and 404,112

Step by Step Solution

1. Step 1: Write the proportion equation
   184,584 : 404,112 = 404,112 : x
2. Step 2: Convert to fraction form
   184,584/404,112 = 404,112/x
3. Step 3: Cross multiply
   184,584x = 404,112 × 404,112
4. Step 4: Simplify right side
   184,584x = 163,306,508,544
5. Step 5: Solve for x
   x = 163,306,508,544/184,584
6. Step 6: Final answer
   x = 884,727.32