Finding the Third Proportional to 102,021.50 and 222,410

Step by Step Solution

1. Step 1: Write the proportion equation
   102,021.50 : 222,410 = 222,410 : x
2. Step 2: Convert to fraction form
   102,021.50/222,410 = 222,410/x
3. Step 3: Cross multiply
   102,021.50x = 222,410 × 222,410
4. Step 4: Simplify right side
   102,021.50x = 49,466,208,100
5. Step 5: Solve for x
   x = 49,466,208,100/102,021.50
6. Step 6: Final answer
   x = 484,860.62