Finding the Third Proportional to 48,720 and 100,896

Step by Step Solution

1. Step 1: Write the proportion equation
   48,720 : 100,896 = 100,896 : x
2. Step 2: Convert to fraction form
   48,720/100,896 = 100,896/x
3. Step 3: Cross multiply
   48,720x = 100,896 × 100,896
4. Step 4: Simplify right side
   48,720x = 10,180,002,816
5. Step 5: Solve for x
   x = 10,180,002,816/48,720
6. Step 6: Final answer
   x = 208,949.15