Finding the Third Proportional to 50,757 and 116,982

Step by Step Solution

1. Step 1: Write the proportion equation
   50,757 : 116,982 = 116,982 : x
2. Step 2: Convert to fraction form
   50,757/116,982 = 116,982/x
3. Step 3: Cross multiply
   50,757x = 116,982 × 116,982
4. Step 4: Simplify right side
   50,757x = 13,684,788,324
5. Step 5: Solve for x
   x = 13,684,788,324/50,757
6. Step 6: Final answer
   x = 269,613.81