Finding the Third Proportional to 338,360 and 735,016

Step by Step Solution

1. Step 1: Write the proportion equation
   338,360 : 735,016 = 735,016 : x
2. Step 2: Convert to fraction form
   338,360/735,016 = 735,016/x
3. Step 3: Cross multiply
   338,360x = 735,016 × 735,016
4. Step 4: Simplify right side
   338,360x = 540,248,520,256
5. Step 5: Solve for x
   x = 540,248,520,256/338,360
6. Step 6: Final answer
   x = 1,596,667.81