Finding the Third Proportional to 53,544 and 113,116

Step by Step Solution

1. Step 1: Write the proportion equation
   53,544 : 113,116 = 113,116 : x
2. Step 2: Convert to fraction form
   53,544/113,116 = 113,116/x
3. Step 3: Cross multiply
   53,544x = 113,116 × 113,116
4. Step 4: Simplify right side
   53,544x = 12,795,229,456
5. Step 5: Solve for x
   x = 12,795,229,456/53,544
6. Step 6: Final answer
   x = 238,966.63