Finding the Third Proportional to 338,960 and 746,016

Step by Step Solution

1. Step 1: Write the proportion equation
   338,960 : 746,016 = 746,016 : x
2. Step 2: Convert to fraction form
   338,960/746,016 = 746,016/x
3. Step 3: Cross multiply
   338,960x = 746,016 × 746,016
4. Step 4: Simplify right side
   338,960x = 556,539,872,256
5. Step 5: Solve for x
   x = 556,539,872,256/338,960
6. Step 6: Final answer
   x = 1,641,904.27