Finding the Third Proportional to 65,664 and 140,544

Step by Step Solution

1. Step 1: Write the proportion equation
   65,664 : 140,544 = 140,544 : x
2. Step 2: Convert to fraction form
   65,664/140,544 = 140,544/x
3. Step 3: Cross multiply
   65,664x = 140,544 × 140,544
4. Step 4: Simplify right side
   65,664x = 19,752,615,936
5. Step 5: Solve for x
   x = 19,752,615,936/65,664
6. Step 6: Final answer
   x = 300,813.47