Finding the Third Proportional to 359,856 and 769,540

Step by Step Solution

1. Step 1: Write the proportion equation
   359,856 : 769,540 = 769,540 : x
2. Step 2: Convert to fraction form
   359,856/769,540 = 769,540/x
3. Step 3: Cross multiply
   359,856x = 769,540 × 769,540
4. Step 4: Simplify right side
   359,856x = 592,191,811,600
5. Step 5: Solve for x
   x = 592,191,811,600/359,856
6. Step 6: Final answer
   x = 1,645,635.51