Finding the Third Proportional to 50,756 and 116,981

Step by Step Solution

1. Step 1: Write the proportion equation
   50,756 : 116,981 = 116,981 : x
2. Step 2: Convert to fraction form
   50,756/116,981 = 116,981/x
3. Step 3: Cross multiply
   50,756x = 116,981 × 116,981
4. Step 4: Simplify right side
   50,756x = 13,684,554,361
5. Step 5: Solve for x
   x = 13,684,554,361/50,756
6. Step 6: Final answer
   x = 269,614.52