Finding the Third Proportional to 525.56 and 813.69

Step by Step Solution

1. Step 1: Write the proportion equation
   525.56 : 813.69 = 813.69 : x
2. Step 2: Convert to fraction form
   525.56/813.69 = 813.69/x
3. Step 3: Cross multiply
   525.56x = 813.69 × 813.69
4. Step 4: Simplify right side
   525.56x = 662,087.35
5. Step 5: Solve for x
   x = 662,087.35/525.56
6. Step 6: Final answer
   x = 1,259.77