Finding the Third Proportional to 103,685 and 222,474

Step by Step Solution

1. Step 1: Write the proportion equation
   103,685 : 222,474 = 222,474 : x
2. Step 2: Convert to fraction form
   103,685/222,474 = 222,474/x
3. Step 3: Cross multiply
   103,685x = 222,474 × 222,474
4. Step 4: Simplify right side
   103,685x = 49,494,680,676
5. Step 5: Solve for x
   x = 49,494,680,676/103,685
6. Step 6: Final answer
   x = 477,356.23