Finding the Third Proportional to 386.16 and 799.31

Step by Step Solution

1. Step 1: Write the proportion equation
   386.16 : 799.31 = 799.31 : x
2. Step 2: Convert to fraction form
   386.16/799.31 = 799.31/x
3. Step 3: Cross multiply
   386.16x = 799.31 × 799.31
4. Step 4: Simplify right side
   386.16x = 638,900.47
5. Step 5: Solve for x
   x = 638,900.47/386.16
6. Step 6: Final answer
   x = 1,654.51