Finding the Third Proportional to 65,264 and 140,896

Step by Step Solution

1. Step 1: Write the proportion equation
   65,264 : 140,896 = 140,896 : x
2. Step 2: Convert to fraction form
   65,264/140,896 = 140,896/x
3. Step 3: Cross multiply
   65,264x = 140,896 × 140,896
4. Step 4: Simplify right side
   65,264x = 19,851,682,816
5. Step 5: Solve for x
   x = 19,851,682,816/65,264
6. Step 6: Final answer
   x = 304,175.09