Finding the Third Proportional to 166,081.50 and 257,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,081.50 : 257,863.50 = 257,863.50 : x
2. Step 2: Convert to fraction form
   166,081.50/257,863.50 = 257,863.50/x
3. Step 3: Cross multiply
   166,081.50x = 257,863.50 × 257,863.50
4. Step 4: Simplify right side
   166,081.50x = 66,493,584,632.25
5. Step 5: Solve for x
   x = 66,493,584,632.25/166,081.50
6. Step 6: Final answer
   x = 400,367.20