Finding the Third Proportional to 85,813 and 132,871

Step by Step Solution

1. Step 1: Write the proportion equation
   85,813 : 132,871 = 132,871 : x
2. Step 2: Convert to fraction form
   85,813/132,871 = 132,871/x
3. Step 3: Cross multiply
   85,813x = 132,871 × 132,871
4. Step 4: Simplify right side
   85,813x = 17,654,702,641
5. Step 5: Solve for x
   x = 17,654,702,641/85,813
6. Step 6: Final answer
   x = 205,734.59