Finding the Third Proportional to 102,022 and 222,111

Step by Step Solution

1. Step 1: Write the proportion equation
   102,022 : 222,111 = 222,111 : x
2. Step 2: Convert to fraction form
   102,022/222,111 = 222,111/x
3. Step 3: Cross multiply
   102,022x = 222,111 × 222,111
4. Step 4: Simplify right side
   102,022x = 49,333,296,321
5. Step 5: Solve for x
   x = 49,333,296,321/102,022
6. Step 6: Final answer
   x = 483,555.47