Finding the Third Proportional to 333,890 and 684,182

Step by Step Solution

1. Step 1: Write the proportion equation
   333,890 : 684,182 = 684,182 : x
2. Step 2: Convert to fraction form
   333,890/684,182 = 684,182/x
3. Step 3: Cross multiply
   333,890x = 684,182 × 684,182
4. Step 4: Simplify right side
   333,890x = 468,105,009,124
5. Step 5: Solve for x
   x = 468,105,009,124/333,890
6. Step 6: Final answer
   x = 1,401,973.73