Finding the Third Proportional to 584,256 and 1,227,546

Step by Step Solution

1. Step 1: Write the proportion equation
   584,256 : 1,227,546 = 1,227,546 : x
2. Step 2: Convert to fraction form
   584,256/1,227,546 = 1,227,546/x
3. Step 3: Cross multiply
   584,256x = 1,227,546 × 1,227,546
4. Step 4: Simplify right side
   584,256x = 1,506,869,182,116
5. Step 5: Solve for x
   x = 1,506,869,182,116/584,256
6. Step 6: Final answer
   x = 2,579,124.87