Finding the Third Proportional to 114,764 and 177,256

Step by Step Solution

1. Step 1: Write the proportion equation
   114,764 : 177,256 = 177,256 : x
2. Step 2: Convert to fraction form
   114,764/177,256 = 177,256/x
3. Step 3: Cross multiply
   114,764x = 177,256 × 177,256
4. Step 4: Simplify right side
   114,764x = 31,419,689,536
5. Step 5: Solve for x
   x = 31,419,689,536/114,764
6. Step 6: Final answer
   x = 273,776.53