Finding the Third Proportional to 65,649 and 143,180

Step by Step Solution

1. Step 1: Write the proportion equation
   65,649 : 143,180 = 143,180 : x
2. Step 2: Convert to fraction form
   65,649/143,180 = 143,180/x
3. Step 3: Cross multiply
   65,649x = 143,180 × 143,180
4. Step 4: Simplify right side
   65,649x = 20,500,512,400
5. Step 5: Solve for x
   x = 20,500,512,400/65,649
6. Step 6: Final answer
   x = 312,274.56