Finding the Third Proportional to 381,184 and 836,096

Step by Step Solution

1. Step 1: Write the proportion equation
   381,184 : 836,096 = 836,096 : x
2. Step 2: Convert to fraction form
   381,184/836,096 = 836,096/x
3. Step 3: Cross multiply
   381,184x = 836,096 × 836,096
4. Step 4: Simplify right side
   381,184x = 699,056,521,216
5. Step 5: Solve for x
   x = 699,056,521,216/381,184
6. Step 6: Final answer
   x = 1,833,908.35