Finding the Third Proportional to 823,857 and 1,736,288

Step by Step Solution

1. Step 1: Write the proportion equation
   823,857 : 1,736,288 = 1,736,288 : x
2. Step 2: Convert to fraction form
   823,857/1,736,288 = 1,736,288/x
3. Step 3: Cross multiply
   823,857x = 1,736,288 × 1,736,288
4. Step 4: Simplify right side
   823,857x = 3,014,696,018,944
5. Step 5: Solve for x
   x = 3,014,696,018,944/823,857
6. Step 6: Final answer
   x = 3,659,246.71