Finding the Third Proportional to 104,006 and 222,714

Step by Step Solution

1. Step 1: Write the proportion equation
   104,006 : 222,714 = 222,714 : x
2. Step 2: Convert to fraction form
   104,006/222,714 = 222,714/x
3. Step 3: Cross multiply
   104,006x = 222,714 × 222,714
4. Step 4: Simplify right side
   104,006x = 49,601,525,796
5. Step 5: Solve for x
   x = 49,601,525,796/104,006
6. Step 6: Final answer
   x = 476,910.23