Finding the Third Proportional to 484.69 and 649.31

Step by Step Solution

1. Step 1: Write the proportion equation
   484.69 : 649.31 = 649.31 : x
2. Step 2: Convert to fraction form
   484.69/649.31 = 649.31/x
3. Step 3: Cross multiply
   484.69x = 649.31 × 649.31
4. Step 4: Simplify right side
   484.69x = 421,606.72
5. Step 5: Solve for x
   x = 421,606.72/484.69
6. Step 6: Final answer
   x = 869.85