Finding the Third Proportional to 103,620 and 222,336

Step by Step Solution

1. Step 1: Write the proportion equation
   103,620 : 222,336 = 222,336 : x
2. Step 2: Convert to fraction form
   103,620/222,336 = 222,336/x
3. Step 3: Cross multiply
   103,620x = 222,336 × 222,336
4. Step 4: Simplify right side
   103,620x = 49,433,296,896
5. Step 5: Solve for x
   x = 49,433,296,896/103,620
6. Step 6: Final answer
   x = 477,063.28