Finding the Third Proportional to 188,504 and 398,824

Step by Step Solution

1. Step 1: Write the proportion equation
   188,504 : 398,824 = 398,824 : x
2. Step 2: Convert to fraction form
   188,504/398,824 = 398,824/x
3. Step 3: Cross multiply
   188,504x = 398,824 × 398,824
4. Step 4: Simplify right side
   188,504x = 159,060,582,976
5. Step 5: Solve for x
   x = 159,060,582,976/188,504
6. Step 6: Final answer
   x = 843,804.82