Finding the Third Proportional to 113,804 and 175,839

Step by Step Solution

1. Step 1: Write the proportion equation
   113,804 : 175,839 = 175,839 : x
2. Step 2: Convert to fraction form
   113,804/175,839 = 175,839/x
3. Step 3: Cross multiply
   113,804x = 175,839 × 175,839
4. Step 4: Simplify right side
   113,804x = 30,919,353,921
5. Step 5: Solve for x
   x = 30,919,353,921/113,804
6. Step 6: Final answer
   x = 271,689.52