Finding the Third Proportional to 65,664 and 144,456

Step by Step Solution

1. Step 1: Write the proportion equation
   65,664 : 144,456 = 144,456 : x
2. Step 2: Convert to fraction form
   65,664/144,456 = 144,456/x
3. Step 3: Cross multiply
   65,664x = 144,456 × 144,456
4. Step 4: Simplify right side
   65,664x = 20,867,535,936
5. Step 5: Solve for x
   x = 20,867,535,936/65,664
6. Step 6: Final answer
   x = 317,792.64