Finding the Third Proportional to 179,926 and 384,766

Step by Step Solution

1. Step 1: Write the proportion equation
   179,926 : 384,766 = 384,766 : x
2. Step 2: Convert to fraction form
   179,926/384,766 = 384,766/x
3. Step 3: Cross multiply
   179,926x = 384,766 × 384,766
4. Step 4: Simplify right side
   179,926x = 148,044,874,756
5. Step 5: Solve for x
   x = 148,044,874,756/179,926
6. Step 6: Final answer
   x = 822,809.79