Finding the Third Proportional to 47,814 and 103,920

Step by Step Solution

1. Step 1: Write the proportion equation
   47,814 : 103,920 = 103,920 : x
2. Step 2: Convert to fraction form
   47,814/103,920 = 103,920/x
3. Step 3: Cross multiply
   47,814x = 103,920 × 103,920
4. Step 4: Simplify right side
   47,814x = 10,799,366,400
5. Step 5: Solve for x
   x = 10,799,366,400/47,814
6. Step 6: Final answer
   x = 225,862.02