Finding the Third Proportional to 188,478 and 410,198

Step by Step Solution

1. Step 1: Write the proportion equation
   188,478 : 410,198 = 410,198 : x
2. Step 2: Convert to fraction form
   188,478/410,198 = 410,198/x
3. Step 3: Cross multiply
   188,478x = 410,198 × 410,198
4. Step 4: Simplify right side
   188,478x = 168,262,399,204
5. Step 5: Solve for x
   x = 168,262,399,204/188,478
6. Step 6: Final answer
   x = 892,742.92