Finding the Third Proportional to 50,116 and 116,538

Step by Step Solution

1. Step 1: Write the proportion equation
   50,116 : 116,538 = 116,538 : x
2. Step 2: Convert to fraction form
   50,116/116,538 = 116,538/x
3. Step 3: Cross multiply
   50,116x = 116,538 × 116,538
4. Step 4: Simplify right side
   50,116x = 13,581,105,444
5. Step 5: Solve for x
   x = 13,581,105,444/50,116
6. Step 6: Final answer
   x = 270,993.40