Finding the Third Proportional to 67,850 and 137,540

Step by Step Solution

1. Step 1: Write the proportion equation
   67,850 : 137,540 = 137,540 : x
2. Step 2: Convert to fraction form
   67,850/137,540 = 137,540/x
3. Step 3: Cross multiply
   67,850x = 137,540 × 137,540
4. Step 4: Simplify right side
   67,850x = 18,917,251,600
5. Step 5: Solve for x
   x = 18,917,251,600/67,850
6. Step 6: Final answer
   x = 278,809.90