Finding the Third Proportional to 114,974 and 171,753

Step by Step Solution

1. Step 1: Write the proportion equation
   114,974 : 171,753 = 171,753 : x
2. Step 2: Convert to fraction form
   114,974/171,753 = 171,753/x
3. Step 3: Cross multiply
   114,974x = 171,753 × 171,753
4. Step 4: Simplify right side
   114,974x = 29,499,093,009
5. Step 5: Solve for x
   x = 29,499,093,009/114,974
6. Step 6: Final answer
   x = 256,571.86