Finding the Third Proportional to 65,256 and 144,000

Step by Step Solution

1. Step 1: Write the proportion equation
   65,256 : 144,000 = 144,000 : x
2. Step 2: Convert to fraction form
   65,256/144,000 = 144,000/x
3. Step 3: Cross multiply
   65,256x = 144,000 × 144,000
4. Step 4: Simplify right side
   65,256x = 20,736,000,000
5. Step 5: Solve for x
   x = 20,736,000,000/65,256
6. Step 6: Final answer
   x = 317,763.88