Finding the Third Proportional to 51,706 and 111,665

Step by Step Solution

1. Step 1: Write the proportion equation
   51,706 : 111,665 = 111,665 : x
2. Step 2: Convert to fraction form
   51,706/111,665 = 111,665/x
3. Step 3: Cross multiply
   51,706x = 111,665 × 111,665
4. Step 4: Simplify right side
   51,706x = 12,469,072,225
5. Step 5: Solve for x
   x = 12,469,072,225/51,706
6. Step 6: Final answer
   x = 241,153.29