Finding the Third Proportional to 389,984 and 842,144

Step by Step Solution

1. Step 1: Write the proportion equation
   389,984 : 842,144 = 842,144 : x
2. Step 2: Convert to fraction form
   389,984/842,144 = 842,144/x
3. Step 3: Cross multiply
   389,984x = 842,144 × 842,144
4. Step 4: Simplify right side
   389,984x = 709,206,516,736
5. Step 5: Solve for x
   x = 709,206,516,736/389,984
6. Step 6: Final answer
   x = 1,818,552.86