Finding the Third Proportional to 67,836 and 137,589

Step by Step Solution

1. Step 1: Write the proportion equation
   67,836 : 137,589 = 137,589 : x
2. Step 2: Convert to fraction form
   67,836/137,589 = 137,589/x
3. Step 3: Cross multiply
   67,836x = 137,589 × 137,589
4. Step 4: Simplify right side
   67,836x = 18,930,732,921
5. Step 5: Solve for x
   x = 18,930,732,921/67,836
6. Step 6: Final answer
   x = 279,066.17