Finding the Third Proportional to 85,900 and 184,502

Step by Step Solution

1. Step 1: Write the proportion equation
   85,900 : 184,502 = 184,502 : x
2. Step 2: Convert to fraction form
   85,900/184,502 = 184,502/x
3. Step 3: Cross multiply
   85,900x = 184,502 × 184,502
4. Step 4: Simplify right side
   85,900x = 34,040,988,004
5. Step 5: Solve for x
   x = 34,040,988,004/85,900
6. Step 6: Final answer
   x = 396,286.24