Finding the Third Proportional to 381,364 and 839,144

Step by Step Solution

1. Step 1: Write the proportion equation
   381,364 : 839,144 = 839,144 : x
2. Step 2: Convert to fraction form
   381,364/839,144 = 839,144/x
3. Step 3: Cross multiply
   381,364x = 839,144 × 839,144
4. Step 4: Simplify right side
   381,364x = 704,162,652,736
5. Step 5: Solve for x
   x = 704,162,652,736/381,364
6. Step 6: Final answer
   x = 1,846,431.89