Finding the Third Proportional to 584,583 and 1,256,196

Step by Step Solution

1. Step 1: Write the proportion equation
   584,583 : 1,256,196 = 1,256,196 : x
2. Step 2: Convert to fraction form
   584,583/1,256,196 = 1,256,196/x
3. Step 3: Cross multiply
   584,583x = 1,256,196 × 1,256,196
4. Step 4: Simplify right side
   584,583x = 1,578,028,390,416
5. Step 5: Solve for x
   x = 1,578,028,390,416/584,583
6. Step 6: Final answer
   x = 2,699,408.62