Finding the Third Proportional to 337,309 and 512,870

Step by Step Solution

1. Step 1: Write the proportion equation
   337,309 : 512,870 = 512,870 : x
2. Step 2: Convert to fraction form
   337,309/512,870 = 512,870/x
3. Step 3: Cross multiply
   337,309x = 512,870 × 512,870
4. Step 4: Simplify right side
   337,309x = 263,035,636,900
5. Step 5: Solve for x
   x = 263,035,636,900/337,309
6. Step 6: Final answer
   x = 779,806.16