Finding the Third Proportional to 321,744 and 423,096

Step by Step Solution

1. Step 1: Write the proportion equation
   321,744 : 423,096 = 423,096 : x
2. Step 2: Convert to fraction form
   321,744/423,096 = 423,096/x
3. Step 3: Cross multiply
   321,744x = 423,096 × 423,096
4. Step 4: Simplify right side
   321,744x = 179,010,225,216
5. Step 5: Solve for x
   x = 179,010,225,216/321,744
6. Step 6: Final answer
   x = 556,374.71