Finding the Third Proportional to 108,448 and 223,592

Step by Step Solution

1. Step 1: Write the proportion equation
   108,448 : 223,592 = 223,592 : x
2. Step 2: Convert to fraction form
   108,448/223,592 = 223,592/x
3. Step 3: Cross multiply
   108,448x = 223,592 × 223,592
4. Step 4: Simplify right side
   108,448x = 49,993,382,464
5. Step 5: Solve for x
   x = 49,993,382,464/108,448
6. Step 6: Final answer
   x = 460,989.44