Finding the Third Proportional to 368,856 and 585,540

Step by Step Solution

1. Step 1: Write the proportion equation
   368,856 : 585,540 = 585,540 : x
2. Step 2: Convert to fraction form
   368,856/585,540 = 585,540/x
3. Step 3: Cross multiply
   368,856x = 585,540 × 585,540
4. Step 4: Simplify right side
   368,856x = 342,857,091,600
5. Step 5: Solve for x
   x = 342,857,091,600/368,856
6. Step 6: Final answer
   x = 929,514.75