Finding the Third Proportional to 72,811 and 109,885

Step by Step Solution

1. Step 1: Write the proportion equation
   72,811 : 109,885 = 109,885 : x
2. Step 2: Convert to fraction form
   72,811/109,885 = 109,885/x
3. Step 3: Cross multiply
   72,811x = 109,885 × 109,885
4. Step 4: Simplify right side
   72,811x = 12,074,713,225
5. Step 5: Solve for x
   x = 12,074,713,225/72,811
6. Step 6: Final answer
   x = 165,836.39