Finding the Third Proportional to 99,824 and 218,404

Step by Step Solution

1. Step 1: Write the proportion equation
   99,824 : 218,404 = 218,404 : x
2. Step 2: Convert to fraction form
   99,824/218,404 = 218,404/x
3. Step 3: Cross multiply
   99,824x = 218,404 × 218,404
4. Step 4: Simplify right side
   99,824x = 47,700,307,216
5. Step 5: Solve for x
   x = 47,700,307,216/99,824
6. Step 6: Final answer
   x = 477,844.08