Finding the Third Proportional to 235,834 and 333,384

Step by Step Solution

1. Step 1: Write the proportion equation
   235,834 : 333,384 = 333,384 : x
2. Step 2: Convert to fraction form
   235,834/333,384 = 333,384/x
3. Step 3: Cross multiply
   235,834x = 333,384 × 333,384
4. Step 4: Simplify right side
   235,834x = 111,144,891,456
5. Step 5: Solve for x
   x = 111,144,891,456/235,834
6. Step 6: Final answer
   x = 471,284.43