Finding the Third Proportional to 67,689 and 137,019

Step by Step Solution

1. Step 1: Write the proportion equation
   67,689 : 137,019 = 137,019 : x
2. Step 2: Convert to fraction form
   67,689/137,019 = 137,019/x
3. Step 3: Cross multiply
   67,689x = 137,019 × 137,019
4. Step 4: Simplify right side
   67,689x = 18,774,206,361
5. Step 5: Solve for x
   x = 18,774,206,361/67,689
6. Step 6: Final answer
   x = 277,359.78