Finding the Third Proportional to 166,458 and 257,455.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,458 : 257,455.50 = 257,455.50 : x
2. Step 2: Convert to fraction form
   166,458/257,455.50 = 257,455.50/x
3. Step 3: Cross multiply
   166,458x = 257,455.50 × 257,455.50
4. Step 4: Simplify right side
   166,458x = 66,283,334,480.25
5. Step 5: Solve for x
   x = 66,283,334,480.25/166,458
6. Step 6: Final answer
   x = 398,198.55