Finding the Third Proportional to 264,104 and 514,978

Step by Step Solution

1. Step 1: Write the proportion equation
   264,104 : 514,978 = 514,978 : x
2. Step 2: Convert to fraction form
   264,104/514,978 = 514,978/x
3. Step 3: Cross multiply
   264,104x = 514,978 × 514,978
4. Step 4: Simplify right side
   264,104x = 265,202,340,484
5. Step 5: Solve for x
   x = 265,202,340,484/264,104
6. Step 6: Final answer
   x = 1,004,158.74