Finding the Third Proportional to 107,072 and 222,640

Step by Step Solution

1. Step 1: Write the proportion equation
   107,072 : 222,640 = 222,640 : x
2. Step 2: Convert to fraction form
   107,072/222,640 = 222,640/x
3. Step 3: Cross multiply
   107,072x = 222,640 × 222,640
4. Step 4: Simplify right side
   107,072x = 49,568,569,600
5. Step 5: Solve for x
   x = 49,568,569,600/107,072
6. Step 6: Final answer
   x = 462,946.14