Finding the Third Proportional to 329,606 and 705,872

Step by Step Solution

1. Step 1: Write the proportion equation
   329,606 : 705,872 = 705,872 : x
2. Step 2: Convert to fraction form
   329,606/705,872 = 705,872/x
3. Step 3: Cross multiply
   329,606x = 705,872 × 705,872
4. Step 4: Simplify right side
   329,606x = 498,255,280,384
5. Step 5: Solve for x
   x = 498,255,280,384/329,606
6. Step 6: Final answer
   x = 1,511,669.33