Finding the Third Proportional to 98,719 and 140,694

Step by Step Solution

1. Step 1: Write the proportion equation
   98,719 : 140,694 = 140,694 : x
2. Step 2: Convert to fraction form
   98,719/140,694 = 140,694/x
3. Step 3: Cross multiply
   98,719x = 140,694 × 140,694
4. Step 4: Simplify right side
   98,719x = 19,794,801,636
5. Step 5: Solve for x
   x = 19,794,801,636/98,719
6. Step 6: Final answer
   x = 200,516.63