Finding the Third Proportional to 362.60 and 776.46

Step by Step Solution

1. Step 1: Write the proportion equation
   362.60 : 776.46 = 776.46 : x
2. Step 2: Convert to fraction form
   362.60/776.46 = 776.46/x
3. Step 3: Cross multiply
   362.60x = 776.46 × 776.46
4. Step 4: Simplify right side
   362.60x = 602,891.59
5. Step 5: Solve for x
   x = 602,891.59/362.60
6. Step 6: Final answer
   x = 1,662.68