Finding the Third Proportional to 109,742 and 166,143

Step by Step Solution

1. Step 1: Write the proportion equation
   109,742 : 166,143 = 166,143 : x
2. Step 2: Convert to fraction form
   109,742/166,143 = 166,143/x
3. Step 3: Cross multiply
   109,742x = 166,143 × 166,143
4. Step 4: Simplify right side
   109,742x = 27,603,496,449
5. Step 5: Solve for x
   x = 27,603,496,449/109,742
6. Step 6: Final answer
   x = 251,530.83