Finding the Third Proportional to 108,766 and 223,388

Step by Step Solution

1. Step 1: Write the proportion equation
   108,766 : 223,388 = 223,388 : x
2. Step 2: Convert to fraction form
   108,766/223,388 = 223,388/x
3. Step 3: Cross multiply
   108,766x = 223,388 × 223,388
4. Step 4: Simplify right side
   108,766x = 49,902,198,544
5. Step 5: Solve for x
   x = 49,902,198,544/108,766
6. Step 6: Final answer
   x = 458,803.29