Finding the Third Proportional to 102,194 and 222,388

Step by Step Solution

1. Step 1: Write the proportion equation
   102,194 : 222,388 = 222,388 : x
2. Step 2: Convert to fraction form
   102,194/222,388 = 222,388/x
3. Step 3: Cross multiply
   102,194x = 222,388 × 222,388
4. Step 4: Simplify right side
   102,194x = 49,456,422,544
5. Step 5: Solve for x
   x = 49,456,422,544/102,194
6. Step 6: Final answer
   x = 483,946.44