Finding the Third Proportional to 85,876 and 131,372

Step by Step Solution

1. Step 1: Write the proportion equation
   85,876 : 131,372 = 131,372 : x
2. Step 2: Convert to fraction form
   85,876/131,372 = 131,372/x
3. Step 3: Cross multiply
   85,876x = 131,372 × 131,372
4. Step 4: Simplify right side
   85,876x = 17,258,602,384
5. Step 5: Solve for x
   x = 17,258,602,384/85,876
6. Step 6: Final answer
   x = 200,971.20