Finding the Third Proportional to 102,356 and 222,196

Step by Step Solution

1. Step 1: Write the proportion equation
   102,356 : 222,196 = 222,196 : x
2. Step 2: Convert to fraction form
   102,356/222,196 = 222,196/x
3. Step 3: Cross multiply
   102,356x = 222,196 × 222,196
4. Step 4: Simplify right side
   102,356x = 49,371,062,416
5. Step 5: Solve for x
   x = 49,371,062,416/102,356
6. Step 6: Final answer
   x = 482,346.54