Finding the Third Proportional to 185,674 and 381,180

Step by Step Solution

1. Step 1: Write the proportion equation
   185,674 : 381,180 = 381,180 : x
2. Step 2: Convert to fraction form
   185,674/381,180 = 381,180/x
3. Step 3: Cross multiply
   185,674x = 381,180 × 381,180
4. Step 4: Simplify right side
   185,674x = 145,298,192,400
5. Step 5: Solve for x
   x = 145,298,192,400/185,674
6. Step 6: Final answer
   x = 782,544.63