Finding the Third Proportional to 103,697 and 222,498

Step by Step Solution

1. Step 1: Write the proportion equation
   103,697 : 222,498 = 222,498 : x
2. Step 2: Convert to fraction form
   103,697/222,498 = 222,498/x
3. Step 3: Cross multiply
   103,697x = 222,498 × 222,498
4. Step 4: Simplify right side
   103,697x = 49,505,360,004
5. Step 5: Solve for x
   x = 49,505,360,004/103,697
6. Step 6: Final answer
   x = 477,403.98