Finding the Third Proportional to 382,636 and 834,166

Step by Step Solution

1. Step 1: Write the proportion equation
   382,636 : 834,166 = 834,166 : x
2. Step 2: Convert to fraction form
   382,636/834,166 = 834,166/x
3. Step 3: Cross multiply
   382,636x = 834,166 × 834,166
4. Step 4: Simplify right side
   382,636x = 695,832,915,556
5. Step 5: Solve for x
   x = 695,832,915,556/382,636
6. Step 6: Final answer
   x = 1,818,524.43