Finding the Third Proportional to 356,093 and 823,648

Step by Step Solution

1. Step 1: Write the proportion equation
   356,093 : 823,648 = 823,648 : x
2. Step 2: Convert to fraction form
   356,093/823,648 = 823,648/x
3. Step 3: Cross multiply
   356,093x = 823,648 × 823,648
4. Step 4: Simplify right side
   356,093x = 678,396,027,904
5. Step 5: Solve for x
   x = 678,396,027,904/356,093
6. Step 6: Final answer
   x = 1,905,109.14