Finding the Third Proportional to 85,871 and 131,355

Step by Step Solution

1. Step 1: Write the proportion equation
   85,871 : 131,355 = 131,355 : x
2. Step 2: Convert to fraction form
   85,871/131,355 = 131,355/x
3. Step 3: Cross multiply
   85,871x = 131,355 × 131,355
4. Step 4: Simplify right side
   85,871x = 17,254,136,025
5. Step 5: Solve for x
   x = 17,254,136,025/85,871
6. Step 6: Final answer
   x = 200,930.88