Finding the Third Proportional to 712.78 and 814.03

Step by Step Solution

1. Step 1: Write the proportion equation
   712.78 : 814.03 = 814.03 : x
2. Step 2: Convert to fraction form
   712.78/814.03 = 814.03/x
3. Step 3: Cross multiply
   712.78x = 814.03 × 814.03
4. Step 4: Simplify right side
   712.78x = 662,646.88
5. Step 5: Solve for x
   x = 662,646.88/712.78
6. Step 6: Final answer
   x = 929.66