Finding the Third Proportional to 85,876 and 131,366

Step by Step Solution

1. Step 1: Write the proportion equation
   85,876 : 131,366 = 131,366 : x
2. Step 2: Convert to fraction form
   85,876/131,366 = 131,366/x
3. Step 3: Cross multiply
   85,876x = 131,366 × 131,366
4. Step 4: Simplify right side
   85,876x = 17,257,025,956
5. Step 5: Solve for x
   x = 17,257,025,956/85,876
6. Step 6: Final answer
   x = 200,952.84