Finding the Third Proportional to 65,649 and 143,328

Step by Step Solution

1. Step 1: Write the proportion equation
   65,649 : 143,328 = 143,328 : x
2. Step 2: Convert to fraction form
   65,649/143,328 = 143,328/x
3. Step 3: Cross multiply
   65,649x = 143,328 × 143,328
4. Step 4: Simplify right side
   65,649x = 20,542,915,584
5. Step 5: Solve for x
   x = 20,542,915,584/65,649
6. Step 6: Final answer
   x = 312,920.46