Finding the Third Proportional to 384,003 and 516,942

Step by Step Solution

1. Step 1: Write the proportion equation
   384,003 : 516,942 = 516,942 : x
2. Step 2: Convert to fraction form
   384,003/516,942 = 516,942/x
3. Step 3: Cross multiply
   384,003x = 516,942 × 516,942
4. Step 4: Simplify right side
   384,003x = 267,229,031,364
5. Step 5: Solve for x
   x = 267,229,031,364/384,003
6. Step 6: Final answer
   x = 695,903.50