Finding the Third Proportional to 412.25 and 786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   412.25 : 786.50 = 786.50 : x
2. Step 2: Convert to fraction form
   412.25/786.50 = 786.50/x
3. Step 3: Cross multiply
   412.25x = 786.50 × 786.50
4. Step 4: Simplify right side
   412.25x = 618,582.25
5. Step 5: Solve for x
   x = 618,582.25/412.25
6. Step 6: Final answer
   x = 1,500.50