Finding the Third Proportional to 71,811 and 109,661

Step by Step Solution

1. Step 1: Write the proportion equation
   71,811 : 109,661 = 109,661 : x
2. Step 2: Convert to fraction form
   71,811/109,661 = 109,661/x
3. Step 3: Cross multiply
   71,811x = 109,661 × 109,661
4. Step 4: Simplify right side
   71,811x = 12,025,534,921
5. Step 5: Solve for x
   x = 12,025,534,921/71,811
6. Step 6: Final answer
   x = 167,460.90