Finding the Third Proportional to 113,808 and 175,845

Step by Step Solution

1. Step 1: Write the proportion equation
   113,808 : 175,845 = 175,845 : x
2. Step 2: Convert to fraction form
   113,808/175,845 = 175,845/x
3. Step 3: Cross multiply
   113,808x = 175,845 × 175,845
4. Step 4: Simplify right side
   113,808x = 30,921,464,025
5. Step 5: Solve for x
   x = 30,921,464,025/113,808
6. Step 6: Final answer
   x = 271,698.51