Finding the Third Proportional to 214,086 and 333,384

Step by Step Solution

1. Step 1: Write the proportion equation
   214,086 : 333,384 = 333,384 : x
2. Step 2: Convert to fraction form
   214,086/333,384 = 333,384/x
3. Step 3: Cross multiply
   214,086x = 333,384 × 333,384
4. Step 4: Simplify right side
   214,086x = 111,144,891,456
5. Step 5: Solve for x
   x = 111,144,891,456/214,086
6. Step 6: Final answer
   x = 519,160.02