Finding the Third Proportional to 107,550 and 222,006

Step by Step Solution

1. Step 1: Write the proportion equation
   107,550 : 222,006 = 222,006 : x
2. Step 2: Convert to fraction form
   107,550/222,006 = 222,006/x
3. Step 3: Cross multiply
   107,550x = 222,006 × 222,006
4. Step 4: Simplify right side
   107,550x = 49,286,664,036
5. Step 5: Solve for x
   x = 49,286,664,036/107,550
6. Step 6: Final answer
   x = 458,267.45