Finding the Third Proportional to 103,695 and 222,494

Step by Step Solution

1. Step 1: Write the proportion equation
   103,695 : 222,494 = 222,494 : x
2. Step 2: Convert to fraction form
   103,695/222,494 = 222,494/x
3. Step 3: Cross multiply
   103,695x = 222,494 × 222,494
4. Step 4: Simplify right side
   103,695x = 49,503,580,036
5. Step 5: Solve for x
   x = 49,503,580,036/103,695
6. Step 6: Final answer
   x = 477,396.02