Finding the Third Proportional to 116,787 and 263,910

Step by Step Solution

1. Step 1: Write the proportion equation
   116,787 : 263,910 = 263,910 : x
2. Step 2: Convert to fraction form
   116,787/263,910 = 263,910/x
3. Step 3: Cross multiply
   116,787x = 263,910 × 263,910
4. Step 4: Simplify right side
   116,787x = 69,648,488,100
5. Step 5: Solve for x
   x = 69,648,488,100/116,787
6. Step 6: Final answer
   x = 596,371.93