Finding the Third Proportional to 105,238 and 223,620

Step by Step Solution

1. Step 1: Write the proportion equation
   105,238 : 223,620 = 223,620 : x
2. Step 2: Convert to fraction form
   105,238/223,620 = 223,620/x
3. Step 3: Cross multiply
   105,238x = 223,620 × 223,620
4. Step 4: Simplify right side
   105,238x = 50,005,904,400
5. Step 5: Solve for x
   x = 50,005,904,400/105,238
6. Step 6: Final answer
   x = 475,169.66