Finding the Third Proportional to 413,339 and 585,036.75

Step by Step Solution

1. Step 1: Write the proportion equation
   413,339 : 585,036.75 = 585,036.75 : x
2. Step 2: Convert to fraction form
   413,339/585,036.75 = 585,036.75/x
3. Step 3: Cross multiply
   413,339x = 585,036.75 × 585,036.75
4. Step 4: Simplify right side
   413,339x = 342,267,998,850.56
5. Step 5: Solve for x
   x = 342,267,998,850.56/413,339
6. Step 6: Final answer
   x = 828,056.39