Finding the Third Proportional to 184,966 and 404,176

Step by Step Solution

1. Step 1: Write the proportion equation
   184,966 : 404,176 = 404,176 : x
2. Step 2: Convert to fraction form
   184,966/404,176 = 404,176/x
3. Step 3: Cross multiply
   184,966x = 404,176 × 404,176
4. Step 4: Simplify right side
   184,966x = 163,358,238,976
5. Step 5: Solve for x
   x = 163,358,238,976/184,966
6. Step 6: Final answer
   x = 883,179.82