Finding the Third Proportional to 105,096 and 223,824

Step by Step Solution

1. Step 1: Write the proportion equation
   105,096 : 223,824 = 223,824 : x
2. Step 2: Convert to fraction form
   105,096/223,824 = 223,824/x
3. Step 3: Cross multiply
   105,096x = 223,824 × 223,824
4. Step 4: Simplify right side
   105,096x = 50,097,182,976
5. Step 5: Solve for x
   x = 50,097,182,976/105,096
6. Step 6: Final answer
   x = 476,680.21