Finding the Third Proportional to 102,192 and 222,384

Step by Step Solution

1. Step 1: Write the proportion equation
   102,192 : 222,384 = 222,384 : x
2. Step 2: Convert to fraction form
   102,192/222,384 = 222,384/x
3. Step 3: Cross multiply
   102,192x = 222,384 × 222,384
4. Step 4: Simplify right side
   102,192x = 49,454,643,456
5. Step 5: Solve for x
   x = 49,454,643,456/102,192
6. Step 6: Final answer
   x = 483,938.50