Finding the Third Proportional to 83,492 and 184,992

Step by Step Solution

1. Step 1: Write the proportion equation
   83,492 : 184,992 = 184,992 : x
2. Step 2: Convert to fraction form
   83,492/184,992 = 184,992/x
3. Step 3: Cross multiply
   83,492x = 184,992 × 184,992
4. Step 4: Simplify right side
   83,492x = 34,222,040,064
5. Step 5: Solve for x
   x = 34,222,040,064/83,492
6. Step 6: Final answer
   x = 409,884.06