Finding the Third Proportional to 235,834 and 333,382

Step by Step Solution

1. Step 1: Write the proportion equation
   235,834 : 333,382 = 333,382 : x
2. Step 2: Convert to fraction form
   235,834/333,382 = 333,382/x
3. Step 3: Cross multiply
   235,834x = 333,382 × 333,382
4. Step 4: Simplify right side
   235,834x = 111,143,557,924
5. Step 5: Solve for x
   x = 111,143,557,924/235,834
6. Step 6: Final answer
   x = 471,278.77