Finding the Third Proportional to 53,538 and 113,104

Step by Step Solution

1. Step 1: Write the proportion equation
   53,538 : 113,104 = 113,104 : x
2. Step 2: Convert to fraction form
   53,538/113,104 = 113,104/x
3. Step 3: Cross multiply
   53,538x = 113,104 × 113,104
4. Step 4: Simplify right side
   53,538x = 12,792,514,816
5. Step 5: Solve for x
   x = 12,792,514,816/53,538
6. Step 6: Final answer
   x = 238,942.71