Finding the Third Proportional to 113,676 and 178,323

Step by Step Solution

1. Step 1: Write the proportion equation
   113,676 : 178,323 = 178,323 : x
2. Step 2: Convert to fraction form
   113,676/178,323 = 178,323/x
3. Step 3: Cross multiply
   113,676x = 178,323 × 178,323
4. Step 4: Simplify right side
   113,676x = 31,799,092,329
5. Step 5: Solve for x
   x = 31,799,092,329/113,676
6. Step 6: Final answer
   x = 279,734.44