Finding the Third Proportional to 547.31 and 649.83

Step by Step Solution

1. Step 1: Write the proportion equation
   547.31 : 649.83 = 649.83 : x
2. Step 2: Convert to fraction form
   547.31/649.83 = 649.83/x
3. Step 3: Cross multiply
   547.31x = 649.83 × 649.83
4. Step 4: Simplify right side
   547.31x = 422,276.59
5. Step 5: Solve for x
   x = 422,276.59/547.31
6. Step 6: Final answer
   x = 771.55