Finding the Third Proportional to 65,648 and 144,416

Step by Step Solution

1. Step 1: Write the proportion equation
   65,648 : 144,416 = 144,416 : x
2. Step 2: Convert to fraction form
   65,648/144,416 = 144,416/x
3. Step 3: Cross multiply
   65,648x = 144,416 × 144,416
4. Step 4: Simplify right side
   65,648x = 20,855,981,056
5. Step 5: Solve for x
   x = 20,855,981,056/65,648
6. Step 6: Final answer
   x = 317,694.08