Finding the Third Proportional to 413,200 and 581,856

Step by Step Solution

1. Step 1: Write the proportion equation
   413,200 : 581,856 = 581,856 : x
2. Step 2: Convert to fraction form
   413,200/581,856 = 581,856/x
3. Step 3: Cross multiply
   413,200x = 581,856 × 581,856
4. Step 4: Simplify right side
   413,200x = 338,556,404,736
5. Step 5: Solve for x
   x = 338,556,404,736/413,200
6. Step 6: Final answer
   x = 819,352.38