Finding the Third Proportional to 323,514.75 and 680,493

Step by Step Solution

1. Step 1: Write the proportion equation
   323,514.75 : 680,493 = 680,493 : x
2. Step 2: Convert to fraction form
   323,514.75/680,493 = 680,493/x
3. Step 3: Cross multiply
   323,514.75x = 680,493 × 680,493
4. Step 4: Simplify right side
   323,514.75x = 463,070,723,049
5. Step 5: Solve for x
   x = 463,070,723,049/323,514.75
6. Step 6: Final answer
   x = 1,431,374.37