Finding the Third Proportional to 166,256 and 257,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,256 : 257,960.50 = 257,960.50 : x
2. Step 2: Convert to fraction form
   166,256/257,960.50 = 257,960.50/x
3. Step 3: Cross multiply
   166,256x = 257,960.50 × 257,960.50
4. Step 4: Simplify right side
   166,256x = 66,543,619,560.25
5. Step 5: Solve for x
   x = 66,543,619,560.25/166,256
6. Step 6: Final answer
   x = 400,247.93