Finding the Third Proportional to 349,120 and 533,834

Step by Step Solution

1. Step 1: Write the proportion equation
   349,120 : 533,834 = 533,834 : x
2. Step 2: Convert to fraction form
   349,120/533,834 = 533,834/x
3. Step 3: Cross multiply
   349,120x = 533,834 × 533,834
4. Step 4: Simplify right side
   349,120x = 284,978,739,556
5. Step 5: Solve for x
   x = 284,978,739,556/349,120
6. Step 6: Final answer
   x = 816,277.32