Finding the Third Proportional to 65,696 and 144,514

Step by Step Solution

1. Step 1: Write the proportion equation
   65,696 : 144,514 = 144,514 : x
2. Step 2: Convert to fraction form
   65,696/144,514 = 144,514/x
3. Step 3: Cross multiply
   65,696x = 144,514 × 144,514
4. Step 4: Simplify right side
   65,696x = 20,884,296,196
5. Step 5: Solve for x
   x = 20,884,296,196/65,696
6. Step 6: Final answer
   x = 317,892.96