Finding the Third Proportional to 155,736 and 335,164

Step by Step Solution

1. Step 1: Write the proportion equation
   155,736 : 335,164 = 335,164 : x
2. Step 2: Convert to fraction form
   155,736/335,164 = 335,164/x
3. Step 3: Cross multiply
   155,736x = 335,164 × 335,164
4. Step 4: Simplify right side
   155,736x = 112,334,906,896
5. Step 5: Solve for x
   x = 112,334,906,896/155,736
6. Step 6: Final answer
   x = 721,316.25