Finding the Third Proportional to 103,682 and 222,844

Step by Step Solution

1. Step 1: Write the proportion equation
   103,682 : 222,844 = 222,844 : x
2. Step 2: Convert to fraction form
   103,682/222,844 = 222,844/x
3. Step 3: Cross multiply
   103,682x = 222,844 × 222,844
4. Step 4: Simplify right side
   103,682x = 49,659,448,336
5. Step 5: Solve for x
   x = 49,659,448,336/103,682
6. Step 6: Final answer
   x = 478,959.21