Finding the Third Proportional to 85,846 and 132,919

Step by Step Solution

1. Step 1: Write the proportion equation
   85,846 : 132,919 = 132,919 : x
2. Step 2: Convert to fraction form
   85,846/132,919 = 132,919/x
3. Step 3: Cross multiply
   85,846x = 132,919 × 132,919
4. Step 4: Simplify right side
   85,846x = 17,667,460,561
5. Step 5: Solve for x
   x = 17,667,460,561/85,846
6. Step 6: Final answer
   x = 205,804.12