Finding the Third Proportional to 114,976 and 171,756

Step by Step Solution

1. Step 1: Write the proportion equation
   114,976 : 171,756 = 171,756 : x
2. Step 2: Convert to fraction form
   114,976/171,756 = 171,756/x
3. Step 3: Cross multiply
   114,976x = 171,756 × 171,756
4. Step 4: Simplify right side
   114,976x = 29,500,123,536
5. Step 5: Solve for x
   x = 29,500,123,536/114,976
6. Step 6: Final answer
   x = 256,576.36