Finding the Third Proportional to 184,524 and 404,256

Step by Step Solution

1. Step 1: Write the proportion equation
   184,524 : 404,256 = 404,256 : x
2. Step 2: Convert to fraction form
   184,524/404,256 = 404,256/x
3. Step 3: Cross multiply
   184,524x = 404,256 × 404,256
4. Step 4: Simplify right side
   184,524x = 163,422,913,536
5. Step 5: Solve for x
   x = 163,422,913,536/184,524
6. Step 6: Final answer
   x = 885,645.84