Finding the Third Proportional to 184,586 and 404,116

Step by Step Solution

1. Step 1: Write the proportion equation
   184,586 : 404,116 = 404,116 : x
2. Step 2: Convert to fraction form
   184,586/404,116 = 404,116/x
3. Step 3: Cross multiply
   184,586x = 404,116 × 404,116
4. Step 4: Simplify right side
   184,586x = 163,309,741,456
5. Step 5: Solve for x
   x = 163,309,741,456/184,586
6. Step 6: Final answer
   x = 884,735.25