Finding the Third Proportional to 110,714 and 166,042

Step by Step Solution

1. Step 1: Write the proportion equation
   110,714 : 166,042 = 166,042 : x
2. Step 2: Convert to fraction form
   110,714/166,042 = 166,042/x
3. Step 3: Cross multiply
   110,714x = 166,042 × 166,042
4. Step 4: Simplify right side
   110,714x = 27,569,945,764
5. Step 5: Solve for x
   x = 27,569,945,764/110,714
6. Step 6: Final answer
   x = 249,019.51