Finding the Third Proportional to 50,208 and 108,768

Step by Step Solution

1. Step 1: Write the proportion equation
   50,208 : 108,768 = 108,768 : x
2. Step 2: Convert to fraction form
   50,208/108,768 = 108,768/x
3. Step 3: Cross multiply
   50,208x = 108,768 × 108,768
4. Step 4: Simplify right side
   50,208x = 11,830,477,824
5. Step 5: Solve for x
   x = 11,830,477,824/50,208
6. Step 6: Final answer
   x = 235,629.34