Finding the Third Proportional to 102,409.50 and 222,795

Step by Step Solution

1. Step 1: Write the proportion equation
   102,409.50 : 222,795 = 222,795 : x
2. Step 2: Convert to fraction form
   102,409.50/222,795 = 222,795/x
3. Step 3: Cross multiply
   102,409.50x = 222,795 × 222,795
4. Step 4: Simplify right side
   102,409.50x = 49,637,612,025
5. Step 5: Solve for x
   x = 49,637,612,025/102,409.50
6. Step 6: Final answer
   x = 484,697.34