Finding the Third Proportional to 168,256 and 359,858

Step by Step Solution

1. Step 1: Write the proportion equation
   168,256 : 359,858 = 359,858 : x
2. Step 2: Convert to fraction form
   168,256/359,858 = 359,858/x
3. Step 3: Cross multiply
   168,256x = 359,858 × 359,858
4. Step 4: Simplify right side
   168,256x = 129,497,780,164
5. Step 5: Solve for x
   x = 129,497,780,164/168,256
6. Step 6: Final answer
   x = 769,647.32