Finding the Third Proportional to 359,854 and 769,536

Step by Step Solution

1. Step 1: Write the proportion equation
   359,854 : 769,536 = 769,536 : x
2. Step 2: Convert to fraction form
   359,854/769,536 = 769,536/x
3. Step 3: Cross multiply
   359,854x = 769,536 × 769,536
4. Step 4: Simplify right side
   359,854x = 592,185,655,296
5. Step 5: Solve for x
   x = 592,185,655,296/359,854
6. Step 6: Final answer
   x = 1,645,627.55