Finding the Third Proportional to 188,469 and 410,180

Step by Step Solution

1. Step 1: Write the proportion equation
   188,469 : 410,180 = 410,180 : x
2. Step 2: Convert to fraction form
   188,469/410,180 = 410,180/x
3. Step 3: Cross multiply
   188,469x = 410,180 × 410,180
4. Step 4: Simplify right side
   188,469x = 168,247,632,400
5. Step 5: Solve for x
   x = 168,247,632,400/188,469
6. Step 6: Final answer
   x = 892,707.20