Finding the Third Proportional to 155,664 and 335,856

Step by Step Solution

1. Step 1: Write the proportion equation
   155,664 : 335,856 = 335,856 : x
2. Step 2: Convert to fraction form
   155,664/335,856 = 335,856/x
3. Step 3: Cross multiply
   155,664x = 335,856 × 335,856
4. Step 4: Simplify right side
   155,664x = 112,799,252,736
5. Step 5: Solve for x
   x = 112,799,252,736/155,664
6. Step 6: Final answer
   x = 724,632.88