Finding the Third Proportional to 214,152 and 333,096

Step by Step Solution

1. Step 1: Write the proportion equation
   214,152 : 333,096 = 333,096 : x
2. Step 2: Convert to fraction form
   214,152/333,096 = 333,096/x
3. Step 3: Cross multiply
   214,152x = 333,096 × 333,096
4. Step 4: Simplify right side
   214,152x = 110,952,945,216
5. Step 5: Solve for x
   x = 110,952,945,216/214,152
6. Step 6: Final answer
   x = 518,103.71