Finding the Third Proportional to 111,810 and 166,191

Step by Step Solution

1. Step 1: Write the proportion equation
   111,810 : 166,191 = 166,191 : x
2. Step 2: Convert to fraction form
   111,810/166,191 = 166,191/x
3. Step 3: Cross multiply
   111,810x = 166,191 × 166,191
4. Step 4: Simplify right side
   111,810x = 27,619,448,481
5. Step 5: Solve for x
   x = 27,619,448,481/111,810
6. Step 6: Final answer
   x = 247,021.27