Finding the Third Proportional to 85,271 and 129,096

Step by Step Solution

1. Step 1: Write the proportion equation
   85,271 : 129,096 = 129,096 : x
2. Step 2: Convert to fraction form
   85,271/129,096 = 129,096/x
3. Step 3: Cross multiply
   85,271x = 129,096 × 129,096
4. Step 4: Simplify right side
   85,271x = 16,665,777,216
5. Step 5: Solve for x
   x = 16,665,777,216/85,271
6. Step 6: Final answer
   x = 195,444.84