Finding the Third Proportional to 108,514 and 223,524

Step by Step Solution

1. Step 1: Write the proportion equation
   108,514 : 223,524 = 223,524 : x
2. Step 2: Convert to fraction form
   108,514/223,524 = 223,524/x
3. Step 3: Cross multiply
   108,514x = 223,524 × 223,524
4. Step 4: Simplify right side
   108,514x = 49,962,978,576
5. Step 5: Solve for x
   x = 49,962,978,576/108,514
6. Step 6: Final answer
   x = 460,428.87