Finding the Third Proportional to 109,714 and 166,110

Step by Step Solution

1. Step 1: Write the proportion equation
   109,714 : 166,110 = 166,110 : x
2. Step 2: Convert to fraction form
   109,714/166,110 = 166,110/x
3. Step 3: Cross multiply
   109,714x = 166,110 × 166,110
4. Step 4: Simplify right side
   109,714x = 27,592,532,100
5. Step 5: Solve for x
   x = 27,592,532,100/109,714
6. Step 6: Final answer
   x = 251,495.09