Finding the Third Proportional to 386.81 and 598.31

Step by Step Solution

1. Step 1: Write the proportion equation
   386.81 : 598.31 = 598.31 : x
2. Step 2: Convert to fraction form
   386.81/598.31 = 598.31/x
3. Step 3: Cross multiply
   386.81x = 598.31 × 598.31
4. Step 4: Simplify right side
   386.81x = 357,977.85
5. Step 5: Solve for x
   x = 357,977.85/386.81
6. Step 6: Final answer
   x = 925.46