Finding the Third Proportional to 214,830 and 322,096

Step by Step Solution

1. Step 1: Write the proportion equation
   214,830 : 322,096 = 322,096 : x
2. Step 2: Convert to fraction form
   214,830/322,096 = 322,096/x
3. Step 3: Cross multiply
   214,830x = 322,096 × 322,096
4. Step 4: Simplify right side
   214,830x = 103,745,833,216
5. Step 5: Solve for x
   x = 103,745,833,216/214,830
6. Step 6: Final answer
   x = 482,920.60