Finding the Third Proportional to 105,723 and 143,514

Step by Step Solution

1. Step 1: Write the proportion equation
   105,723 : 143,514 = 143,514 : x
2. Step 2: Convert to fraction form
   105,723/143,514 = 143,514/x
3. Step 3: Cross multiply
   105,723x = 143,514 × 143,514
4. Step 4: Simplify right side
   105,723x = 20,596,268,196
5. Step 5: Solve for x
   x = 20,596,268,196/105,723
6. Step 6: Final answer
   x = 194,813.51