Finding the Third Proportional to 333,586 and 680,756

Step by Step Solution

1. Step 1: Write the proportion equation
   333,586 : 680,756 = 680,756 : x
2. Step 2: Convert to fraction form
   333,586/680,756 = 680,756/x
3. Step 3: Cross multiply
   333,586x = 680,756 × 680,756
4. Step 4: Simplify right side
   333,586x = 463,428,731,536
5. Step 5: Solve for x
   x = 463,428,731,536/333,586
6. Step 6: Final answer
   x = 1,389,233.16