Finding the Third Proportional to 386.33 and 832.46

Step by Step Solution

1. Step 1: Write the proportion equation
   386.33 : 832.46 = 832.46 : x
2. Step 2: Convert to fraction form
   386.33/832.46 = 832.46/x
3. Step 3: Cross multiply
   386.33x = 832.46 × 832.46
4. Step 4: Simplify right side
   386.33x = 692,997.72
5. Step 5: Solve for x
   x = 692,997.72/386.33
6. Step 6: Final answer
   x = 1,793.79