Finding the Third Proportional to 184,320 and 402,016

Step by Step Solution

1. Step 1: Write the proportion equation
   184,320 : 402,016 = 402,016 : x
2. Step 2: Convert to fraction form
   184,320/402,016 = 402,016/x
3. Step 3: Cross multiply
   184,320x = 402,016 × 402,016
4. Step 4: Simplify right side
   184,320x = 161,616,864,256
5. Step 5: Solve for x
   x = 161,616,864,256/184,320
6. Step 6: Final answer
   x = 876,827.61