Finding the Third Proportional to 719.75 and 1,131.50

Step by Step Solution

1. Step 1: Write the proportion equation
   719.75 : 1,131.50 = 1,131.50 : x
2. Step 2: Convert to fraction form
   719.75/1,131.50 = 1,131.50/x
3. Step 3: Cross multiply
   719.75x = 1,131.50 × 1,131.50
4. Step 4: Simplify right side
   719.75x = 1,280,292.25
5. Step 5: Solve for x
   x = 1,280,292.25/719.75
6. Step 6: Final answer
   x = 1,778.80