Finding the Third Proportional to 109,184 and 166,689

Step by Step Solution

1. Step 1: Write the proportion equation
   109,184 : 166,689 = 166,689 : x
2. Step 2: Convert to fraction form
   109,184/166,689 = 166,689/x
3. Step 3: Cross multiply
   109,184x = 166,689 × 166,689
4. Step 4: Simplify right side
   109,184x = 27,785,222,721
5. Step 5: Solve for x
   x = 27,785,222,721/109,184
6. Step 6: Final answer
   x = 254,480.72