Finding the Third Proportional to 349,099.50 and 533,802

Step by Step Solution

1. Step 1: Write the proportion equation
   349,099.50 : 533,802 = 533,802 : x
2. Step 2: Convert to fraction form
   349,099.50/533,802 = 533,802/x
3. Step 3: Cross multiply
   349,099.50x = 533,802 × 533,802
4. Step 4: Simplify right side
   349,099.50x = 284,944,575,204
5. Step 5: Solve for x
   x = 284,944,575,204/349,099.50
6. Step 6: Final answer
   x = 816,227.39