Finding the Third Proportional to 85,814 and 132,874

Step by Step Solution

1. Step 1: Write the proportion equation
   85,814 : 132,874 = 132,874 : x
2. Step 2: Convert to fraction form
   85,814/132,874 = 132,874/x
3. Step 3: Cross multiply
   85,814x = 132,874 × 132,874
4. Step 4: Simplify right side
   85,814x = 17,655,499,876
5. Step 5: Solve for x
   x = 17,655,499,876/85,814
6. Step 6: Final answer
   x = 205,741.49