Finding the Third Proportional to 88,686 and 137,694

Step by Step Solution

1. Step 1: Write the proportion equation
   88,686 : 137,694 = 137,694 : x
2. Step 2: Convert to fraction form
   88,686/137,694 = 137,694/x
3. Step 3: Cross multiply
   88,686x = 137,694 × 137,694
4. Step 4: Simplify right side
   88,686x = 18,959,637,636
5. Step 5: Solve for x
   x = 18,959,637,636/88,686
6. Step 6: Final answer
   x = 213,783.89