Finding the Third Proportional to 89,723 and 137,727

Step by Step Solution

1. Step 1: Write the proportion equation
   89,723 : 137,727 = 137,727 : x
2. Step 2: Convert to fraction form
   89,723/137,727 = 137,727/x
3. Step 3: Cross multiply
   89,723x = 137,727 × 137,727
4. Step 4: Simplify right side
   89,723x = 18,968,726,529
5. Step 5: Solve for x
   x = 18,968,726,529/89,723
6. Step 6: Final answer
   x = 211,414.31