Finding the Third Proportional to 89,920 and 142,896

Step by Step Solution

1. Step 1: Write the proportion equation
   89,920 : 142,896 = 142,896 : x
2. Step 2: Convert to fraction form
   89,920/142,896 = 142,896/x
3. Step 3: Cross multiply
   89,920x = 142,896 × 142,896
4. Step 4: Simplify right side
   89,920x = 20,419,266,816
5. Step 5: Solve for x
   x = 20,419,266,816/89,920
6. Step 6: Final answer
   x = 227,082.59