Finding the Third Proportional to 177,379 and 381,002

Step by Step Solution

1. Step 1: Write the proportion equation
   177,379 : 381,002 = 381,002 : x
2. Step 2: Convert to fraction form
   177,379/381,002 = 381,002/x
3. Step 3: Cross multiply
   177,379x = 381,002 × 381,002
4. Step 4: Simplify right side
   177,379x = 145,162,524,004
5. Step 5: Solve for x
   x = 145,162,524,004/177,379
6. Step 6: Final answer
   x = 818,374.91