Finding the Third Proportional to 338,874 and 705,840

Step by Step Solution

1. Step 1: Write the proportion equation
   338,874 : 705,840 = 705,840 : x
2. Step 2: Convert to fraction form
   338,874/705,840 = 705,840/x
3. Step 3: Cross multiply
   338,874x = 705,840 × 705,840
4. Step 4: Simplify right side
   338,874x = 498,210,105,600
5. Step 5: Solve for x
   x = 498,210,105,600/338,874
6. Step 6: Final answer
   x = 1,470,192.77