Finding the Third Proportional to 114,198 and 175,665

Step by Step Solution

1. Step 1: Write the proportion equation
   114,198 : 175,665 = 175,665 : x
2. Step 2: Convert to fraction form
   114,198/175,665 = 175,665/x
3. Step 3: Cross multiply
   114,198x = 175,665 × 175,665
4. Step 4: Simplify right side
   114,198x = 30,858,192,225
5. Step 5: Solve for x
   x = 30,858,192,225/114,198
6. Step 6: Final answer
   x = 270,216.57