Finding the Third Proportional to 401,844 and 885,462

Step by Step Solution

1. Step 1: Write the proportion equation
   401,844 : 885,462 = 885,462 : x
2. Step 2: Convert to fraction form
   401,844/885,462 = 885,462/x
3. Step 3: Cross multiply
   401,844x = 885,462 × 885,462
4. Step 4: Simplify right side
   401,844x = 784,042,953,444
5. Step 5: Solve for x
   x = 784,042,953,444/401,844
6. Step 6: Final answer
   x = 1,951,112.75