Finding the Third Proportional to 85,540 and 184,904

Step by Step Solution

1. Step 1: Write the proportion equation
   85,540 : 184,904 = 184,904 : x
2. Step 2: Convert to fraction form
   85,540/184,904 = 184,904/x
3. Step 3: Cross multiply
   85,540x = 184,904 × 184,904
4. Step 4: Simplify right side
   85,540x = 34,189,489,216
5. Step 5: Solve for x
   x = 34,189,489,216/85,540
6. Step 6: Final answer
   x = 399,690.08