Finding the Third Proportional to 111,808 and 166,190

Step by Step Solution

1. Step 1: Write the proportion equation
   111,808 : 166,190 = 166,190 : x
2. Step 2: Convert to fraction form
   111,808/166,190 = 166,190/x
3. Step 3: Cross multiply
   111,808x = 166,190 × 166,190
4. Step 4: Simplify right side
   111,808x = 27,619,116,100
5. Step 5: Solve for x
   x = 27,619,116,100/111,808
6. Step 6: Final answer
   x = 247,022.72