Finding the Third Proportional to 188,568 and 410,328

Step by Step Solution

1. Step 1: Write the proportion equation
   188,568 : 410,328 = 410,328 : x
2. Step 2: Convert to fraction form
   188,568/410,328 = 410,328/x
3. Step 3: Cross multiply
   188,568x = 410,328 × 410,328
4. Step 4: Simplify right side
   188,568x = 168,369,067,584
5. Step 5: Solve for x
   x = 168,369,067,584/188,568
6. Step 6: Final answer
   x = 892,882.50