Finding the Third Proportional to 103,365 and 222,564

Step by Step Solution

1. Step 1: Write the proportion equation
   103,365 : 222,564 = 222,564 : x
2. Step 2: Convert to fraction form
   103,365/222,564 = 222,564/x
3. Step 3: Cross multiply
   103,365x = 222,564 × 222,564
4. Step 4: Simplify right side
   103,365x = 49,534,734,096
5. Step 5: Solve for x
   x = 49,534,734,096/103,365
6. Step 6: Final answer
   x = 479,221.54