Finding the Third Proportional to 321,427.50 and 684,476

Step by Step Solution

1. Step 1: Write the proportion equation
   321,427.50 : 684,476 = 684,476 : x
2. Step 2: Convert to fraction form
   321,427.50/684,476 = 684,476/x
3. Step 3: Cross multiply
   321,427.50x = 684,476 × 684,476
4. Step 4: Simplify right side
   321,427.50x = 468,507,394,576
5. Step 5: Solve for x
   x = 468,507,394,576/321,427.50
6. Step 6: Final answer
   x = 1,457,583.42