Finding the Third Proportional to 116,868 and 251,256

Step by Step Solution

1. Step 1: Write the proportion equation
   116,868 : 251,256 = 251,256 : x
2. Step 2: Convert to fraction form
   116,868/251,256 = 251,256/x
3. Step 3: Cross multiply
   116,868x = 251,256 × 251,256
4. Step 4: Simplify right side
   116,868x = 63,129,577,536
5. Step 5: Solve for x
   x = 63,129,577,536/116,868
6. Step 6: Final answer
   x = 540,178.47