Finding the Third Proportional to 65,736 and 144,648

Step by Step Solution

1. Step 1: Write the proportion equation
   65,736 : 144,648 = 144,648 : x
2. Step 2: Convert to fraction form
   65,736/144,648 = 144,648/x
3. Step 3: Cross multiply
   65,736x = 144,648 × 144,648
4. Step 4: Simplify right side
   65,736x = 20,923,043,904
5. Step 5: Solve for x
   x = 20,923,043,904/65,736
6. Step 6: Final answer
   x = 318,288.97