Finding the Third Proportional to 103,620 and 223,782

Step by Step Solution

1. Step 1: Write the proportion equation
   103,620 : 223,782 = 223,782 : x
2. Step 2: Convert to fraction form
   103,620/223,782 = 223,782/x
3. Step 3: Cross multiply
   103,620x = 223,782 × 223,782
4. Step 4: Simplify right side
   103,620x = 50,078,383,524
5. Step 5: Solve for x
   x = 50,078,383,524/103,620
6. Step 6: Final answer
   x = 483,288.78