Finding the Third Proportional to 184,809 and 398,040

Step by Step Solution

1. Step 1: Write the proportion equation
   184,809 : 398,040 = 398,040 : x
2. Step 2: Convert to fraction form
   184,809/398,040 = 398,040/x
3. Step 3: Cross multiply
   184,809x = 398,040 × 398,040
4. Step 4: Simplify right side
   184,809x = 158,435,841,600
5. Step 5: Solve for x
   x = 158,435,841,600/184,809
6. Step 6: Final answer
   x = 857,295.05