Finding the Third Proportional to 799.25 and 1,168.50

Step by Step Solution

1. Step 1: Write the proportion equation
   799.25 : 1,168.50 = 1,168.50 : x
2. Step 2: Convert to fraction form
   799.25/1,168.50 = 1,168.50/x
3. Step 3: Cross multiply
   799.25x = 1,168.50 × 1,168.50
4. Step 4: Simplify right side
   799.25x = 1,365,392.25
5. Step 5: Solve for x
   x = 1,365,392.25/799.25
6. Step 6: Final answer
   x = 1,708.34