Finding the Third Proportional to 712.69 and 799.88

Step by Step Solution

1. Step 1: Write the proportion equation
   712.69 : 799.88 = 799.88 : x
2. Step 2: Convert to fraction form
   712.69/799.88 = 799.88/x
3. Step 3: Cross multiply
   712.69x = 799.88 × 799.88
4. Step 4: Simplify right side
   712.69x = 639,800.02
5. Step 5: Solve for x
   x = 639,800.02/712.69
6. Step 6: Final answer
   x = 897.73