Finding the Third Proportional to 384,018 and 516,960

Step by Step Solution

1. Step 1: Write the proportion equation
   384,018 : 516,960 = 516,960 : x
2. Step 2: Convert to fraction form
   384,018/516,960 = 516,960/x
3. Step 3: Cross multiply
   384,018x = 516,960 × 516,960
4. Step 4: Simplify right side
   384,018x = 267,247,641,600
5. Step 5: Solve for x
   x = 267,247,641,600/384,018
6. Step 6: Final answer
   x = 695,924.78