Finding the Third Proportional to 411.75 and 776.25

Step by Step Solution

1. Step 1: Write the proportion equation
   411.75 : 776.25 = 776.25 : x
2. Step 2: Convert to fraction form
   411.75/776.25 = 776.25/x
3. Step 3: Cross multiply
   411.75x = 776.25 × 776.25
4. Step 4: Simplify right side
   411.75x = 602,564.06
5. Step 5: Solve for x
   x = 602,564.06/411.75
6. Step 6: Final answer
   x = 1,463.42