Finding the Third Proportional to 329,625 and 705,906

Step by Step Solution

1. Step 1: Write the proportion equation
   329,625 : 705,906 = 705,906 : x
2. Step 2: Convert to fraction form
   329,625/705,906 = 705,906/x
3. Step 3: Cross multiply
   329,625x = 705,906 × 705,906
4. Step 4: Simplify right side
   329,625x = 498,303,280,836
5. Step 5: Solve for x
   x = 498,303,280,836/329,625
6. Step 6: Final answer
   x = 1,511,727.81