Finding the Third Proportional to 333,585 and 680,754

Step by Step Solution

1. Step 1: Write the proportion equation
   333,585 : 680,754 = 680,754 : x
2. Step 2: Convert to fraction form
   333,585/680,754 = 680,754/x
3. Step 3: Cross multiply
   333,585x = 680,754 × 680,754
4. Step 4: Simplify right side
   333,585x = 463,426,008,516
5. Step 5: Solve for x
   x = 463,426,008,516/333,585
6. Step 6: Final answer
   x = 1,389,229.16