Finding the Third Proportional to 327,219.50 and 684,084

Step by Step Solution

1. Step 1: Write the proportion equation
   327,219.50 : 684,084 = 684,084 : x
2. Step 2: Convert to fraction form
   327,219.50/684,084 = 684,084/x
3. Step 3: Cross multiply
   327,219.50x = 684,084 × 684,084
4. Step 4: Simplify right side
   327,219.50x = 467,970,919,056
5. Step 5: Solve for x
   x = 467,970,919,056/327,219.50
6. Step 6: Final answer
   x = 1,430,143.74