Finding the Third Proportional to 166,255.31 and 257,959.69

Step by Step Solution

1. Step 1: Write the proportion equation
   166,255.31 : 257,959.69 = 257,959.69 : x
2. Step 2: Convert to fraction form
   166,255.31/257,959.69 = 257,959.69/x
3. Step 3: Cross multiply
   166,255.31x = 257,959.69 × 257,959.69
4. Step 4: Simplify right side
   166,255.31x = 66,543,200,375.10
5. Step 5: Solve for x
   x = 66,543,200,375.10/166,255.31
6. Step 6: Final answer
   x = 400,247.06