Finding the Third Proportional to 116,676 and 255,951

Step by Step Solution

1. Step 1: Write the proportion equation
   116,676 : 255,951 = 255,951 : x
2. Step 2: Convert to fraction form
   116,676/255,951 = 255,951/x
3. Step 3: Cross multiply
   116,676x = 255,951 × 255,951
4. Step 4: Simplify right side
   116,676x = 65,510,914,401
5. Step 5: Solve for x
   x = 65,510,914,401/116,676
6. Step 6: Final answer
   x = 561,477.21