Finding the Third Proportional to 381,834 and 839,939.63

Step by Step Solution

1. Step 1: Write the proportion equation
   381,834 : 839,939.63 = 839,939.63 : x
2. Step 2: Convert to fraction form
   381,834/839,939.63 = 839,939.63/x
3. Step 3: Cross multiply
   381,834x = 839,939.63 × 839,939.63
4. Step 4: Simplify right side
   381,834x = 705,498,573,645.14
5. Step 5: Solve for x
   x = 705,498,573,645.14/381,834
6. Step 6: Final answer
   x = 1,847,657.81