Finding the Third Proportional to 102,218 and 222,436

Step by Step Solution

1. Step 1: Write the proportion equation
   102,218 : 222,436 = 222,436 : x
2. Step 2: Convert to fraction form
   102,218/222,436 = 222,436/x
3. Step 3: Cross multiply
   102,218x = 222,436 × 222,436
4. Step 4: Simplify right side
   102,218x = 49,477,774,096
5. Step 5: Solve for x
   x = 49,477,774,096/102,218
6. Step 6: Final answer
   x = 484,041.70