Finding the Third Proportional to 584,640 and 1,256,314

Step by Step Solution

1. Step 1: Write the proportion equation
   584,640 : 1,256,314 = 1,256,314 : x
2. Step 2: Convert to fraction form
   584,640/1,256,314 = 1,256,314/x
3. Step 3: Cross multiply
   584,640x = 1,256,314 × 1,256,314
4. Step 4: Simplify right side
   584,640x = 1,578,324,866,596
5. Step 5: Solve for x
   x = 1,578,324,866,596/584,640
6. Step 6: Final answer
   x = 2,699,652.55