Finding the Third Proportional to 856.50 and 1,133.25

Step by Step Solution

1. Step 1: Write the proportion equation
   856.50 : 1,133.25 = 1,133.25 : x
2. Step 2: Convert to fraction form
   856.50/1,133.25 = 1,133.25/x
3. Step 3: Cross multiply
   856.50x = 1,133.25 × 1,133.25
4. Step 4: Simplify right side
   856.50x = 1,284,255.56
5. Step 5: Solve for x
   x = 1,284,255.56/856.50
6. Step 6: Final answer
   x = 1,499.42