Finding the Third Proportional to 50,758 and 116,986

Step by Step Solution

1. Step 1: Write the proportion equation
   50,758 : 116,986 = 116,986 : x
2. Step 2: Convert to fraction form
   50,758/116,986 = 116,986/x
3. Step 3: Cross multiply
   50,758x = 116,986 × 116,986
4. Step 4: Simplify right side
   50,758x = 13,685,724,196
5. Step 5: Solve for x
   x = 13,685,724,196/50,758
6. Step 6: Final answer
   x = 269,626.94