Finding the Third Proportional to 645.56 and 852.56

Step by Step Solution

1. Step 1: Write the proportion equation
   645.56 : 852.56 = 852.56 : x
2. Step 2: Convert to fraction form
   645.56/852.56 = 852.56/x
3. Step 3: Cross multiply
   645.56x = 852.56 × 852.56
4. Step 4: Simplify right side
   645.56x = 726,862.82
5. Step 5: Solve for x
   x = 726,862.82/645.56
6. Step 6: Final answer
   x = 1,125.94