Finding the Third Proportional to 65,296.50 and 142,896

Step by Step Solution

1. Step 1: Write the proportion equation
   65,296.50 : 142,896 = 142,896 : x
2. Step 2: Convert to fraction form
   65,296.50/142,896 = 142,896/x
3. Step 3: Cross multiply
   65,296.50x = 142,896 × 142,896
4. Step 4: Simplify right side
   65,296.50x = 20,419,266,816
5. Step 5: Solve for x
   x = 20,419,266,816/65,296.50
6. Step 6: Final answer
   x = 312,716.10