Finding the Third Proportional to 362.16 and 775.59

Step by Step Solution

1. Step 1: Write the proportion equation
   362.16 : 775.59 = 775.59 : x
2. Step 2: Convert to fraction form
   362.16/775.59 = 775.59/x
3. Step 3: Cross multiply
   362.16x = 775.59 × 775.59
4. Step 4: Simplify right side
   362.16x = 601,545.67
5. Step 5: Solve for x
   x = 601,545.67/362.16
6. Step 6: Final answer
   x = 1,661.01