Finding the Third Proportional to 349,568 and 765,834

Step by Step Solution

1. Step 1: Write the proportion equation
   349,568 : 765,834 = 765,834 : x
2. Step 2: Convert to fraction form
   349,568/765,834 = 765,834/x
3. Step 3: Cross multiply
   349,568x = 765,834 × 765,834
4. Step 4: Simplify right side
   349,568x = 586,501,715,556
5. Step 5: Solve for x
   x = 586,501,715,556/349,568
6. Step 6: Final answer
   x = 1,677,790.06