Finding the Third Proportional to 382,688 and 834,268

Step by Step Solution

1. Step 1: Write the proportion equation
   382,688 : 834,268 = 834,268 : x
2. Step 2: Convert to fraction form
   382,688/834,268 = 834,268/x
3. Step 3: Cross multiply
   382,688x = 834,268 × 834,268
4. Step 4: Simplify right side
   382,688x = 696,003,095,824
5. Step 5: Solve for x
   x = 696,003,095,824/382,688
6. Step 6: Final answer
   x = 1,818,722.03