Finding the Third Proportional to 102,308 and 222,112

Step by Step Solution

1. Step 1: Write the proportion equation
   102,308 : 222,112 = 222,112 : x
2. Step 2: Convert to fraction form
   102,308/222,112 = 222,112/x
3. Step 3: Cross multiply
   102,308x = 222,112 × 222,112
4. Step 4: Simplify right side
   102,308x = 49,333,740,544
5. Step 5: Solve for x
   x = 49,333,740,544/102,308
6. Step 6: Final answer
   x = 482,208.04