Finding the Third Proportional to 109,766 and 165,514

Step by Step Solution

1. Step 1: Write the proportion equation
   109,766 : 165,514 = 165,514 : x
2. Step 2: Convert to fraction form
   109,766/165,514 = 165,514/x
3. Step 3: Cross multiply
   109,766x = 165,514 × 165,514
4. Step 4: Simplify right side
   109,766x = 27,394,884,196
5. Step 5: Solve for x
   x = 27,394,884,196/109,766
6. Step 6: Final answer
   x = 249,575.32