Finding the Third Proportional to 526.82 and 649.27

Step by Step Solution

1. Step 1: Write the proportion equation
   526.82 : 649.27 = 649.27 : x
2. Step 2: Convert to fraction form
   526.82/649.27 = 649.27/x
3. Step 3: Cross multiply
   526.82x = 649.27 × 649.27
4. Step 4: Simplify right side
   526.82x = 421,545.85
5. Step 5: Solve for x
   x = 421,545.85/526.82
6. Step 6: Final answer
   x = 800.18