Finding the Third Proportional to 109,966 and 171,514

Step by Step Solution

1. Step 1: Write the proportion equation
   109,966 : 171,514 = 171,514 : x
2. Step 2: Convert to fraction form
   109,966/171,514 = 171,514/x
3. Step 3: Cross multiply
   109,966x = 171,514 × 171,514
4. Step 4: Simplify right side
   109,966x = 29,417,052,196
5. Step 5: Solve for x
   x = 29,417,052,196/109,966
6. Step 6: Final answer
   x = 267,510.43