Finding the Third Proportional to 111,805 and 166,185

Step by Step Solution

1. Step 1: Write the proportion equation
   111,805 : 166,185 = 166,185 : x
2. Step 2: Convert to fraction form
   111,805/166,185 = 166,185/x
3. Step 3: Cross multiply
   111,805x = 166,185 × 166,185
4. Step 4: Simplify right side
   111,805x = 27,617,454,225
5. Step 5: Solve for x
   x = 27,617,454,225/111,805
6. Step 6: Final answer
   x = 247,014.48