Finding the Third Proportional to 71,919 and 111,665

Step by Step Solution

1. Step 1: Write the proportion equation
   71,919 : 111,665 = 111,665 : x
2. Step 2: Convert to fraction form
   71,919/111,665 = 111,665/x
3. Step 3: Cross multiply
   71,919x = 111,665 × 111,665
4. Step 4: Simplify right side
   71,919x = 12,469,072,225
5. Step 5: Solve for x
   x = 12,469,072,225/71,919
6. Step 6: Final answer
   x = 173,376.61