Finding the Third Proportional to 108,530 and 222,338

Step by Step Solution

1. Step 1: Write the proportion equation
   108,530 : 222,338 = 222,338 : x
2. Step 2: Convert to fraction form
   108,530/222,338 = 222,338/x
3. Step 3: Cross multiply
   108,530x = 222,338 × 222,338
4. Step 4: Simplify right side
   108,530x = 49,434,186,244
5. Step 5: Solve for x
   x = 49,434,186,244/108,530
6. Step 6: Final answer
   x = 455,488.68