Finding the Third Proportional to 359,540 and 781,834

Step by Step Solution

1. Step 1: Write the proportion equation
   359,540 : 781,834 = 781,834 : x
2. Step 2: Convert to fraction form
   359,540/781,834 = 781,834/x
3. Step 3: Cross multiply
   359,540x = 781,834 × 781,834
4. Step 4: Simplify right side
   359,540x = 611,264,403,556
5. Step 5: Solve for x
   x = 611,264,403,556/359,540
6. Step 6: Final answer
   x = 1,700,129.06