Finding the Third Proportional to 98,709 and 140,680

Step by Step Solution

1. Step 1: Write the proportion equation
   98,709 : 140,680 = 140,680 : x
2. Step 2: Convert to fraction form
   98,709/140,680 = 140,680/x
3. Step 3: Cross multiply
   98,709x = 140,680 × 140,680
4. Step 4: Simplify right side
   98,709x = 19,790,862,400
5. Step 5: Solve for x
   x = 19,790,862,400/98,709
6. Step 6: Final answer
   x = 200,497.04