Finding the Third Proportional to 400,836 and 599,308

Step by Step Solution

1. Step 1: Write the proportion equation
   400,836 : 599,308 = 599,308 : x
2. Step 2: Convert to fraction form
   400,836/599,308 = 599,308/x
3. Step 3: Cross multiply
   400,836x = 599,308 × 599,308
4. Step 4: Simplify right side
   400,836x = 359,170,078,864
5. Step 5: Solve for x
   x = 359,170,078,864/400,836
6. Step 6: Final answer
   x = 896,052.45