Finding the Third Proportional to 329,308.50 and 684,456

Step by Step Solution

1. Step 1: Write the proportion equation
   329,308.50 : 684,456 = 684,456 : x
2. Step 2: Convert to fraction form
   329,308.50/684,456 = 684,456/x
3. Step 3: Cross multiply
   329,308.50x = 684,456 × 684,456
4. Step 4: Simplify right side
   329,308.50x = 468,480,015,936
5. Step 5: Solve for x
   x = 468,480,015,936/329,308.50
6. Step 6: Final answer
   x = 1,422,617.44