Finding the Third Proportional to 113,724 and 178,398

Step by Step Solution

1. Step 1: Write the proportion equation
   113,724 : 178,398 = 178,398 : x
2. Step 2: Convert to fraction form
   113,724/178,398 = 178,398/x
3. Step 3: Cross multiply
   113,724x = 178,398 × 178,398
4. Step 4: Simplify right side
   113,724x = 31,825,846,404
5. Step 5: Solve for x
   x = 31,825,846,404/113,724
6. Step 6: Final answer
   x = 279,851.63