Finding the Third Proportional to 116,786 and 263,907

Step by Step Solution

1. Step 1: Write the proportion equation
   116,786 : 263,907 = 263,907 : x
2. Step 2: Convert to fraction form
   116,786/263,907 = 263,907/x
3. Step 3: Cross multiply
   116,786x = 263,907 × 263,907
4. Step 4: Simplify right side
   116,786x = 69,646,904,649
5. Step 5: Solve for x
   x = 69,646,904,649/116,786
6. Step 6: Final answer
   x = 596,363.47