Finding the Third Proportional to 584,546 and 1,256,116.25

Step by Step Solution

1. Step 1: Write the proportion equation
   584,546 : 1,256,116.25 = 1,256,116.25 : x
2. Step 2: Convert to fraction form
   584,546/1,256,116.25 = 1,256,116.25/x
3. Step 3: Cross multiply
   584,546x = 1,256,116.25 × 1,256,116.25
4. Step 4: Simplify right side
   584,546x = 1,577,828,033,514.06
5. Step 5: Solve for x
   x = 1,577,828,033,514.06/584,546
6. Step 6: Final answer
   x = 2,699,236.73