Finding the Third Proportional to 65,729 and 143,896

Step by Step Solution

1. Step 1: Write the proportion equation
   65,729 : 143,896 = 143,896 : x
2. Step 2: Convert to fraction form
   65,729/143,896 = 143,896/x
3. Step 3: Cross multiply
   65,729x = 143,896 × 143,896
4. Step 4: Simplify right side
   65,729x = 20,706,058,816
5. Step 5: Solve for x
   x = 20,706,058,816/65,729
6. Step 6: Final answer
   x = 315,021.66