Finding the Third Proportional to 216,416 and 472,198

Step by Step Solution

1. Step 1: Write the proportion equation
   216,416 : 472,198 = 472,198 : x
2. Step 2: Convert to fraction form
   216,416/472,198 = 472,198/x
3. Step 3: Cross multiply
   216,416x = 472,198 × 472,198
4. Step 4: Simplify right side
   216,416x = 222,970,951,204
5. Step 5: Solve for x
   x = 222,970,951,204/216,416
6. Step 6: Final answer
   x = 1,030,288.66