Finding the Third Proportional to 103,628 and 223,798

Step by Step Solution

1. Step 1: Write the proportion equation
   103,628 : 223,798 = 223,798 : x
2. Step 2: Convert to fraction form
   103,628/223,798 = 223,798/x
3. Step 3: Cross multiply
   103,628x = 223,798 × 223,798
4. Step 4: Simplify right side
   103,628x = 50,085,544,804
5. Step 5: Solve for x
   x = 50,085,544,804/103,628
6. Step 6: Final answer
   x = 483,320.58