Finding the Third Proportional to 184,664 and 404,464

Step by Step Solution

1. Step 1: Write the proportion equation
   184,664 : 404,464 = 404,464 : x
2. Step 2: Convert to fraction form
   184,664/404,464 = 404,464/x
3. Step 3: Cross multiply
   184,664x = 404,464 × 404,464
4. Step 4: Simplify right side
   184,664x = 163,591,127,296
5. Step 5: Solve for x
   x = 163,591,127,296/184,664
6. Step 6: Final answer
   x = 885,885.32