Finding the Third Proportional to 58,756 and 123,256

Step by Step Solution

1. Step 1: Write the proportion equation
   58,756 : 123,256 = 123,256 : x
2. Step 2: Convert to fraction form
   58,756/123,256 = 123,256/x
3. Step 3: Cross multiply
   58,756x = 123,256 × 123,256
4. Step 4: Simplify right side
   58,756x = 15,192,041,536
5. Step 5: Solve for x
   x = 15,192,041,536/58,756
6. Step 6: Final answer
   x = 258,561.53