Finding the Third Proportional to 98,696 and 142,849

Step by Step Solution

1. Step 1: Write the proportion equation
   98,696 : 142,849 = 142,849 : x
2. Step 2: Convert to fraction form
   98,696/142,849 = 142,849/x
3. Step 3: Cross multiply
   98,696x = 142,849 × 142,849
4. Step 4: Simplify right side
   98,696x = 20,405,836,801
5. Step 5: Solve for x
   x = 20,405,836,801/98,696
6. Step 6: Final answer
   x = 206,754.45