Finding the Third Proportional to 263,640 and 622,096

Step by Step Solution

1. Step 1: Write the proportion equation
   263,640 : 622,096 = 622,096 : x
2. Step 2: Convert to fraction form
   263,640/622,096 = 622,096/x
3. Step 3: Cross multiply
   263,640x = 622,096 × 622,096
4. Step 4: Simplify right side
   263,640x = 387,003,433,216
5. Step 5: Solve for x
   x = 387,003,433,216/263,640
6. Step 6: Final answer
   x = 1,467,923.81