Finding the Third Proportional to 99,696 and 142,198

Step by Step Solution

1. Step 1: Write the proportion equation
   99,696 : 142,198 = 142,198 : x
2. Step 2: Convert to fraction form
   99,696/142,198 = 142,198/x
3. Step 3: Cross multiply
   99,696x = 142,198 × 142,198
4. Step 4: Simplify right side
   99,696x = 20,220,271,204
5. Step 5: Solve for x
   x = 20,220,271,204/99,696
6. Step 6: Final answer
   x = 202,819.28