Finding the Third Proportional to 214,119 and 333,441

Step by Step Solution

1. Step 1: Write the proportion equation
   214,119 : 333,441 = 333,441 : x
2. Step 2: Convert to fraction form
   214,119/333,441 = 333,441/x
3. Step 3: Cross multiply
   214,119x = 333,441 × 333,441
4. Step 4: Simplify right side
   214,119x = 111,182,900,481
5. Step 5: Solve for x
   x = 111,182,900,481/214,119
6. Step 6: Final answer
   x = 519,257.52