Finding the Third Proportional to 85,696 and 131,802

Step by Step Solution

1. Step 1: Write the proportion equation
   85,696 : 131,802 = 131,802 : x
2. Step 2: Convert to fraction form
   85,696/131,802 = 131,802/x
3. Step 3: Cross multiply
   85,696x = 131,802 × 131,802
4. Step 4: Simplify right side
   85,696x = 17,371,767,204
5. Step 5: Solve for x
   x = 17,371,767,204/85,696
6. Step 6: Final answer
   x = 202,713.86