Finding the Third Proportional to 173,826 and 222,876

Step by Step Solution

1. Step 1: Write the proportion equation
   173,826 : 222,876 = 222,876 : x
2. Step 2: Convert to fraction form
   173,826/222,876 = 222,876/x
3. Step 3: Cross multiply
   173,826x = 222,876 × 222,876
4. Step 4: Simplify right side
   173,826x = 49,673,711,376
5. Step 5: Solve for x
   x = 49,673,711,376/173,826
6. Step 6: Final answer
   x = 285,766.87