Finding the Third Proportional to 101,721 and 222,818

Step by Step Solution

1. Step 1: Write the proportion equation
   101,721 : 222,818 = 222,818 : x
2. Step 2: Convert to fraction form
   101,721/222,818 = 222,818/x
3. Step 3: Cross multiply
   101,721x = 222,818 × 222,818
4. Step 4: Simplify right side
   101,721x = 49,647,861,124
5. Step 5: Solve for x
   x = 49,647,861,124/101,721
6. Step 6: Final answer
   x = 488,078.78