Finding the Third Proportional to 65,256 and 140,880

Step by Step Solution

1. Step 1: Write the proportion equation
   65,256 : 140,880 = 140,880 : x
2. Step 2: Convert to fraction form
   65,256/140,880 = 140,880/x
3. Step 3: Cross multiply
   65,256x = 140,880 × 140,880
4. Step 4: Simplify right side
   65,256x = 19,847,174,400
5. Step 5: Solve for x
   x = 19,847,174,400/65,256
6. Step 6: Final answer
   x = 304,143.29