Finding the Third Proportional to 386.06 and 822.56

Step by Step Solution

1. Step 1: Write the proportion equation
   386.06 : 822.56 = 822.56 : x
2. Step 2: Convert to fraction form
   386.06/822.56 = 822.56/x
3. Step 3: Cross multiply
   386.06x = 822.56 × 822.56
4. Step 4: Simplify right side
   386.06x = 676,609.07
5. Step 5: Solve for x
   x = 676,609.07/386.06
6. Step 6: Final answer
   x = 1,752.59