Finding the Third Proportional to 111,802 and 166,181

Step by Step Solution

1. Step 1: Write the proportion equation
   111,802 : 166,181 = 166,181 : x
2. Step 2: Convert to fraction form
   111,802/166,181 = 166,181/x
3. Step 3: Cross multiply
   111,802x = 166,181 × 166,181
4. Step 4: Simplify right side
   111,802x = 27,616,124,761
5. Step 5: Solve for x
   x = 27,616,124,761/111,802
6. Step 6: Final answer
   x = 247,009.22