Finding the Third Proportional to 50,684 and 116,609

Step by Step Solution

1. Step 1: Write the proportion equation
   50,684 : 116,609 = 116,609 : x
2. Step 2: Convert to fraction form
   50,684/116,609 = 116,609/x
3. Step 3: Cross multiply
   50,684x = 116,609 × 116,609
4. Step 4: Simplify right side
   50,684x = 13,597,658,881
5. Step 5: Solve for x
   x = 13,597,658,881/50,684
6. Step 6: Final answer
   x = 268,283.07