Finding the Third Proportional to 103,685 and 222,111

Step by Step Solution

1. Step 1: Write the proportion equation
   103,685 : 222,111 = 222,111 : x
2. Step 2: Convert to fraction form
   103,685/222,111 = 222,111/x
3. Step 3: Cross multiply
   103,685x = 222,111 × 222,111
4. Step 4: Simplify right side
   103,685x = 49,333,296,321
5. Step 5: Solve for x
   x = 49,333,296,321/103,685
6. Step 6: Final answer
   x = 475,799.74