Finding the Third Proportional to 65,871 and 144,045

Step by Step Solution

1. Step 1: Write the proportion equation
   65,871 : 144,045 = 144,045 : x
2. Step 2: Convert to fraction form
   65,871/144,045 = 144,045/x
3. Step 3: Cross multiply
   65,871x = 144,045 × 144,045
4. Step 4: Simplify right side
   65,871x = 20,748,962,025
5. Step 5: Solve for x
   x = 20,748,962,025/65,871
6. Step 6: Final answer
   x = 314,993.88