Finding the Third Proportional to 410.50 and 867.50

Step by Step Solution

1. Step 1: Write the proportion equation
   410.50 : 867.50 = 867.50 : x
2. Step 2: Convert to fraction form
   410.50/867.50 = 867.50/x
3. Step 3: Cross multiply
   410.50x = 867.50 × 867.50
4. Step 4: Simplify right side
   410.50x = 752,556.25
5. Step 5: Solve for x
   x = 752,556.25/410.50
6. Step 6: Final answer
   x = 1,833.27