Finding the Third Proportional to 766.25 and 1,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   766.25 : 1,173.50 = 1,173.50 : x
2. Step 2: Convert to fraction form
   766.25/1,173.50 = 1,173.50/x
3. Step 3: Cross multiply
   766.25x = 1,173.50 × 1,173.50
4. Step 4: Simplify right side
   766.25x = 1,377,102.25
5. Step 5: Solve for x
   x = 1,377,102.25/766.25
6. Step 6: Final answer
   x = 1,797.20