Finding the Third Proportional to 155,826 and 233,919

Step by Step Solution

1. Step 1: Write the proportion equation
   155,826 : 233,919 = 233,919 : x
2. Step 2: Convert to fraction form
   155,826/233,919 = 233,919/x
3. Step 3: Cross multiply
   155,826x = 233,919 × 233,919
4. Step 4: Simplify right side
   155,826x = 54,718,098,561
5. Step 5: Solve for x
   x = 54,718,098,561/155,826
6. Step 6: Final answer
   x = 351,148.71