Finding the Third Proportional to 398,636 and 596,856

Step by Step Solution

1. Step 1: Write the proportion equation
   398,636 : 596,856 = 596,856 : x
2. Step 2: Convert to fraction form
   398,636/596,856 = 596,856/x
3. Step 3: Cross multiply
   398,636x = 596,856 × 596,856
4. Step 4: Simplify right side
   398,636x = 356,237,084,736
5. Step 5: Solve for x
   x = 356,237,084,736/398,636
6. Step 6: Final answer
   x = 893,640.02