Finding the Third Proportional to 65,228 and 142,960

Step by Step Solution

1. Step 1: Write the proportion equation
   65,228 : 142,960 = 142,960 : x
2. Step 2: Convert to fraction form
   65,228/142,960 = 142,960/x
3. Step 3: Cross multiply
   65,228x = 142,960 × 142,960
4. Step 4: Simplify right side
   65,228x = 20,437,561,600
5. Step 5: Solve for x
   x = 20,437,561,600/65,228
6. Step 6: Final answer
   x = 313,324.98