Finding the Third Proportional to 113,902 and 175,314

Step by Step Solution

1. Step 1: Write the proportion equation
   113,902 : 175,314 = 175,314 : x
2. Step 2: Convert to fraction form
   113,902/175,314 = 175,314/x
3. Step 3: Cross multiply
   113,902x = 175,314 × 175,314
4. Step 4: Simplify right side
   113,902x = 30,734,998,596
5. Step 5: Solve for x
   x = 30,734,998,596/113,902
6. Step 6: Final answer
   x = 269,837.22