Finding the Third Proportional to 311,580 and 677,834

Step by Step Solution

1. Step 1: Write the proportion equation
   311,580 : 677,834 = 677,834 : x
2. Step 2: Convert to fraction form
   311,580/677,834 = 677,834/x
3. Step 3: Cross multiply
   311,580x = 677,834 × 677,834
4. Step 4: Simplify right side
   311,580x = 459,458,931,556
5. Step 5: Solve for x
   x = 459,458,931,556/311,580
6. Step 6: Final answer
   x = 1,474,609.83