Finding the Third Proportional to 65,561 and 144,514

Step by Step Solution

1. Step 1: Write the proportion equation
   65,561 : 144,514 = 144,514 : x
2. Step 2: Convert to fraction form
   65,561/144,514 = 144,514/x
3. Step 3: Cross multiply
   65,561x = 144,514 × 144,514
4. Step 4: Simplify right side
   65,561x = 20,884,296,196
5. Step 5: Solve for x
   x = 20,884,296,196/65,561
6. Step 6: Final answer
   x = 318,547.55