Finding the Third Proportional to 85,892 and 184,499

Step by Step Solution

1. Step 1: Write the proportion equation
   85,892 : 184,499 = 184,499 : x
2. Step 2: Convert to fraction form
   85,892/184,499 = 184,499/x
3. Step 3: Cross multiply
   85,892x = 184,499 × 184,499
4. Step 4: Simplify right side
   85,892x = 34,039,881,001
5. Step 5: Solve for x
   x = 34,039,881,001/85,892
6. Step 6: Final answer
   x = 396,310.26