Finding the Third Proportional to 103,640 and 214,648

Step by Step Solution

1. Step 1: Write the proportion equation
   103,640 : 214,648 = 214,648 : x
2. Step 2: Convert to fraction form
   103,640/214,648 = 214,648/x
3. Step 3: Cross multiply
   103,640x = 214,648 × 214,648
4. Step 4: Simplify right side
   103,640x = 46,073,763,904
5. Step 5: Solve for x
   x = 46,073,763,904/103,640
6. Step 6: Final answer
   x = 444,555.81