Finding the Third Proportional to 114,976 and 171,758

Step by Step Solution

1. Step 1: Write the proportion equation
   114,976 : 171,758 = 171,758 : x
2. Step 2: Convert to fraction form
   114,976/171,758 = 171,758/x
3. Step 3: Cross multiply
   114,976x = 171,758 × 171,758
4. Step 4: Simplify right side
   114,976x = 29,500,810,564
5. Step 5: Solve for x
   x = 29,500,810,564/114,976
6. Step 6: Final answer
   x = 256,582.34