Finding the Third Proportional to 111,122 and 166,695

Step by Step Solution

1. Step 1: Write the proportion equation
   111,122 : 166,695 = 166,695 : x
2. Step 2: Convert to fraction form
   111,122/166,695 = 166,695/x
3. Step 3: Cross multiply
   111,122x = 166,695 × 166,695
4. Step 4: Simplify right side
   111,122x = 27,787,223,025
5. Step 5: Solve for x
   x = 27,787,223,025/111,122
6. Step 6: Final answer
   x = 250,060.50