Finding the Third Proportional to 103,638 and 223,620

Step by Step Solution

1. Step 1: Write the proportion equation
   103,638 : 223,620 = 223,620 : x
2. Step 2: Convert to fraction form
   103,638/223,620 = 223,620/x
3. Step 3: Cross multiply
   103,638x = 223,620 × 223,620
4. Step 4: Simplify right side
   103,638x = 50,005,904,400
5. Step 5: Solve for x
   x = 50,005,904,400/103,638
6. Step 6: Final answer
   x = 482,505.49