Finding the Third Proportional to 359.95 and 776.72

Step by Step Solution

1. Step 1: Write the proportion equation
   359.95 : 776.72 = 776.72 : x
2. Step 2: Convert to fraction form
   359.95/776.72 = 776.72/x
3. Step 3: Cross multiply
   359.95x = 776.72 × 776.72
4. Step 4: Simplify right side
   359.95x = 603,292.02
5. Step 5: Solve for x
   x = 603,292.02/359.95
6. Step 6: Final answer
   x = 1,676.03