Finding the Third Proportional to 344,796.75 and 517,665.94

Step by Step Solution

1. Step 1: Write the proportion equation
   344,796.75 : 517,665.94 = 517,665.94 : x
2. Step 2: Convert to fraction form
   344,796.75/517,665.94 = 517,665.94/x
3. Step 3: Cross multiply
   344,796.75x = 517,665.94 × 517,665.94
4. Step 4: Simplify right side
   344,796.75x = 267,978,022,847.75
5. Step 5: Solve for x
   x = 267,978,022,847.75/344,796.75
6. Step 6: Final answer
   x = 777,205.77