Finding the Third Proportional to 816,580 and 1,200,678

Step by Step Solution

1. Step 1: Write the proportion equation
   816,580 : 1,200,678 = 1,200,678 : x
2. Step 2: Convert to fraction form
   816,580/1,200,678 = 1,200,678/x
3. Step 3: Cross multiply
   816,580x = 1,200,678 × 1,200,678
4. Step 4: Simplify right side
   816,580x = 1,441,627,659,684
5. Step 5: Solve for x
   x = 1,441,627,659,684/816,580
6. Step 6: Final answer
   x = 1,765,445.71