Finding the Third Proportional to 512.50 and 1,086

Step by Step Solution

1. Step 1: Write the proportion equation
   512.50 : 1,086 = 1,086 : x
2. Step 2: Convert to fraction form
   512.50/1,086 = 1,086/x
3. Step 3: Cross multiply
   512.50x = 1,086 × 1,086
4. Step 4: Simplify right side
   512.50x = 1,179,396
5. Step 5: Solve for x
   x = 1,179,396/512.50
6. Step 6: Final answer
   x = 2,301.26