Finding the Third Proportional to 65,388 and 140,256

Step by Step Solution

1. Step 1: Write the proportion equation
   65,388 : 140,256 = 140,256 : x
2. Step 2: Convert to fraction form
   65,388/140,256 = 140,256/x
3. Step 3: Cross multiply
   65,388x = 140,256 × 140,256
4. Step 4: Simplify right side
   65,388x = 19,671,745,536
5. Step 5: Solve for x
   x = 19,671,745,536/65,388
6. Step 6: Final answer
   x = 300,846.42