Finding the Third Proportional to 329,104 and 684,072

Step by Step Solution

1. Step 1: Write the proportion equation
   329,104 : 684,072 = 684,072 : x
2. Step 2: Convert to fraction form
   329,104/684,072 = 684,072/x
3. Step 3: Cross multiply
   329,104x = 684,072 × 684,072
4. Step 4: Simplify right side
   329,104x = 467,954,501,184
5. Step 5: Solve for x
   x = 467,954,501,184/329,104
6. Step 6: Final answer
   x = 1,421,904.63