Finding the Third Proportional to 329,624 and 705,904

Step by Step Solution

1. Step 1: Write the proportion equation
   329,624 : 705,904 = 705,904 : x
2. Step 2: Convert to fraction form
   329,624/705,904 = 705,904/x
3. Step 3: Cross multiply
   329,624x = 705,904 × 705,904
4. Step 4: Simplify right side
   329,624x = 498,300,457,216
5. Step 5: Solve for x
   x = 498,300,457,216/329,624
6. Step 6: Final answer
   x = 1,511,723.83