Finding the Third Proportional to 385,856 and 834,096

Step by Step Solution

1. Step 1: Write the proportion equation
   385,856 : 834,096 = 834,096 : x
2. Step 2: Convert to fraction form
   385,856/834,096 = 834,096/x
3. Step 3: Cross multiply
   385,856x = 834,096 × 834,096
4. Step 4: Simplify right side
   385,856x = 695,716,137,216
5. Step 5: Solve for x
   x = 695,716,137,216/385,856
6. Step 6: Final answer
   x = 1,803,046.05