Finding the Third Proportional to 722.06 and 823.31

Step by Step Solution

1. Step 1: Write the proportion equation
   722.06 : 823.31 = 823.31 : x
2. Step 2: Convert to fraction form
   722.06/823.31 = 823.31/x
3. Step 3: Cross multiply
   722.06x = 823.31 × 823.31
4. Step 4: Simplify right side
   722.06x = 677,843.47
5. Step 5: Solve for x
   x = 677,843.47/722.06
6. Step 6: Final answer
   x = 938.76