Finding the Third Proportional to 116,851.50 and 255,816

Step by Step Solution

1. Step 1: Write the proportion equation
   116,851.50 : 255,816 = 255,816 : x
2. Step 2: Convert to fraction form
   116,851.50/255,816 = 255,816/x
3. Step 3: Cross multiply
   116,851.50x = 255,816 × 255,816
4. Step 4: Simplify right side
   116,851.50x = 65,441,825,856
5. Step 5: Solve for x
   x = 65,441,825,856/116,851.50
6. Step 6: Final answer
   x = 560,042.67