Finding the Third Proportional to 116,643.50 and 255,886

Step by Step Solution

1. Step 1: Write the proportion equation
   116,643.50 : 255,886 = 255,886 : x
2. Step 2: Convert to fraction form
   116,643.50/255,886 = 255,886/x
3. Step 3: Cross multiply
   116,643.50x = 255,886 × 255,886
4. Step 4: Simplify right side
   116,643.50x = 65,477,644,996
5. Step 5: Solve for x
   x = 65,477,644,996/116,643.50
6. Step 6: Final answer
   x = 561,348.42