Finding the Third Proportional to 65,721 and 142,514

Step by Step Solution

1. Step 1: Write the proportion equation
   65,721 : 142,514 = 142,514 : x
2. Step 2: Convert to fraction form
   65,721/142,514 = 142,514/x
3. Step 3: Cross multiply
   65,721x = 142,514 × 142,514
4. Step 4: Simplify right side
   65,721x = 20,310,240,196
5. Step 5: Solve for x
   x = 20,310,240,196/65,721
6. Step 6: Final answer
   x = 309,037.30