Finding the Third Proportional to 116,685 and 255,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,685 : 255,964.50 = 255,964.50 : x
2. Step 2: Convert to fraction form
   116,685/255,964.50 = 255,964.50/x
3. Step 3: Cross multiply
   116,685x = 255,964.50 × 255,964.50
4. Step 4: Simplify right side
   116,685x = 65,517,825,260.25
5. Step 5: Solve for x
   x = 65,517,825,260.25/116,685
6. Step 6: Final answer
   x = 561,493.12