Finding the Third Proportional to 173,775 and 380,766

Step by Step Solution

1. Step 1: Write the proportion equation
   173,775 : 380,766 = 380,766 : x
2. Step 2: Convert to fraction form
   173,775/380,766 = 380,766/x
3. Step 3: Cross multiply
   173,775x = 380,766 × 380,766
4. Step 4: Simplify right side
   173,775x = 144,982,746,756
5. Step 5: Solve for x
   x = 144,982,746,756/173,775
6. Step 6: Final answer
   x = 834,313.03