Finding the Third Proportional to 362 and 776.50

Step by Step Solution

1. Step 1: Write the proportion equation
   362 : 776.50 = 776.50 : x
2. Step 2: Convert to fraction form
   362/776.50 = 776.50/x
3. Step 3: Cross multiply
   362x = 776.50 × 776.50
4. Step 4: Simplify right side
   362x = 602,952.25
5. Step 5: Solve for x
   x = 602,952.25/362
6. Step 6: Final answer
   x = 1,665.61