Finding the Third Proportional to 103,674 and 222,508

Step by Step Solution

1. Step 1: Write the proportion equation
   103,674 : 222,508 = 222,508 : x
2. Step 2: Convert to fraction form
   103,674/222,508 = 222,508/x
3. Step 3: Cross multiply
   103,674x = 222,508 × 222,508
4. Step 4: Simplify right side
   103,674x = 49,509,810,064
5. Step 5: Solve for x
   x = 49,509,810,064/103,674
6. Step 6: Final answer
   x = 477,552.81