Finding the Third Proportional to 164,016 and 353,180

Step by Step Solution

1. Step 1: Write the proportion equation
   164,016 : 353,180 = 353,180 : x
2. Step 2: Convert to fraction form
   164,016/353,180 = 353,180/x
3. Step 3: Cross multiply
   164,016x = 353,180 × 353,180
4. Step 4: Simplify right side
   164,016x = 124,736,112,400
5. Step 5: Solve for x
   x = 124,736,112,400/164,016
6. Step 6: Final answer
   x = 760,511.85