Finding the Third Proportional to 338,918 and 705,906

Step by Step Solution

1. Step 1: Write the proportion equation
   338,918 : 705,906 = 705,906 : x
2. Step 2: Convert to fraction form
   338,918/705,906 = 705,906/x
3. Step 3: Cross multiply
   338,918x = 705,906 × 705,906
4. Step 4: Simplify right side
   338,918x = 498,303,280,836
5. Step 5: Solve for x
   x = 498,303,280,836/338,918
6. Step 6: Final answer
   x = 1,470,276.82