Finding the Third Proportional to 113,320 and 223,824

Step by Step Solution

1. Step 1: Write the proportion equation
   113,320 : 223,824 = 223,824 : x
2. Step 2: Convert to fraction form
   113,320/223,824 = 223,824/x
3. Step 3: Cross multiply
   113,320x = 223,824 × 223,824
4. Step 4: Simplify right side
   113,320x = 50,097,182,976
5. Step 5: Solve for x
   x = 50,097,182,976/113,320
6. Step 6: Final answer
   x = 442,085.98