Finding the Third Proportional to 82,836 and 131,742

Step by Step Solution

1. Step 1: Write the proportion equation
   82,836 : 131,742 = 131,742 : x
2. Step 2: Convert to fraction form
   82,836/131,742 = 131,742/x
3. Step 3: Cross multiply
   82,836x = 131,742 × 131,742
4. Step 4: Simplify right side
   82,836x = 17,355,954,564
5. Step 5: Solve for x
   x = 17,355,954,564/82,836
6. Step 6: Final answer
   x = 209,521.88