Finding the Third Proportional to 67,826 and 137,498

Step by Step Solution

1. Step 1: Write the proportion equation
   67,826 : 137,498 = 137,498 : x
2. Step 2: Convert to fraction form
   67,826/137,498 = 137,498/x
3. Step 3: Cross multiply
   67,826x = 137,498 × 137,498
4. Step 4: Simplify right side
   67,826x = 18,905,700,004
5. Step 5: Solve for x
   x = 18,905,700,004/67,826
6. Step 6: Final answer
   x = 278,738.24