Finding the Third Proportional to 113,806 and 178,503

Step by Step Solution

1. Step 1: Write the proportion equation
   113,806 : 178,503 = 178,503 : x
2. Step 2: Convert to fraction form
   113,806/178,503 = 178,503/x
3. Step 3: Cross multiply
   113,806x = 178,503 × 178,503
4. Step 4: Simplify right side
   113,806x = 31,863,321,009
5. Step 5: Solve for x
   x = 31,863,321,009/113,806
6. Step 6: Final answer
   x = 279,979.27