Finding the Third Proportional to 67,829 and 137,504

Step by Step Solution

1. Step 1: Write the proportion equation
   67,829 : 137,504 = 137,504 : x
2. Step 2: Convert to fraction form
   67,829/137,504 = 137,504/x
3. Step 3: Cross multiply
   67,829x = 137,504 × 137,504
4. Step 4: Simplify right side
   67,829x = 18,907,350,016
5. Step 5: Solve for x
   x = 18,907,350,016/67,829
6. Step 6: Final answer
   x = 278,750.24