Finding the Third Proportional to 185,824 and 404,800

Step by Step Solution

1. Step 1: Write the proportion equation
   185,824 : 404,800 = 404,800 : x
2. Step 2: Convert to fraction form
   185,824/404,800 = 404,800/x
3. Step 3: Cross multiply
   185,824x = 404,800 × 404,800
4. Step 4: Simplify right side
   185,824x = 163,863,040,000
5. Step 5: Solve for x
   x = 163,863,040,000/185,824
6. Step 6: Final answer
   x = 881,818.49