Finding the Third Proportional to 89,842 and 140,919

Step by Step Solution

1. Step 1: Write the proportion equation
   89,842 : 140,919 = 140,919 : x
2. Step 2: Convert to fraction form
   89,842/140,919 = 140,919/x
3. Step 3: Cross multiply
   89,842x = 140,919 × 140,919
4. Step 4: Simplify right side
   89,842x = 19,858,164,561
5. Step 5: Solve for x
   x = 19,858,164,561/89,842
6. Step 6: Final answer
   x = 221,034.31