Finding the Third Proportional to 65,704 and 142,896

Step by Step Solution

1. Step 1: Write the proportion equation
   65,704 : 142,896 = 142,896 : x
2. Step 2: Convert to fraction form
   65,704/142,896 = 142,896/x
3. Step 3: Cross multiply
   65,704x = 142,896 × 142,896
4. Step 4: Simplify right side
   65,704x = 20,419,266,816
5. Step 5: Solve for x
   x = 20,419,266,816/65,704
6. Step 6: Final answer
   x = 310,776.62