Finding the Third Proportional to 412.50 and 863.25

Step by Step Solution

1. Step 1: Write the proportion equation
   412.50 : 863.25 = 863.25 : x
2. Step 2: Convert to fraction form
   412.50/863.25 = 863.25/x
3. Step 3: Cross multiply
   412.50x = 863.25 × 863.25
4. Step 4: Simplify right side
   412.50x = 745,200.56
5. Step 5: Solve for x
   x = 745,200.56/412.50
6. Step 6: Final answer
   x = 1,806.55