Finding the Third Proportional to 381,758 and 862,499

Step by Step Solution

1. Step 1: Write the proportion equation
   381,758 : 862,499 = 862,499 : x
2. Step 2: Convert to fraction form
   381,758/862,499 = 862,499/x
3. Step 3: Cross multiply
   381,758x = 862,499 × 862,499
4. Step 4: Simplify right side
   381,758x = 743,904,525,001
5. Step 5: Solve for x
   x = 743,904,525,001/381,758
6. Step 6: Final answer
   x = 1,948,628.52