Finding the Third Proportional to 166,084.50 and 257,870.25

Step by Step Solution

1. Step 1: Write the proportion equation
   166,084.50 : 257,870.25 = 257,870.25 : x
2. Step 2: Convert to fraction form
   166,084.50/257,870.25 = 257,870.25/x
3. Step 3: Cross multiply
   166,084.50x = 257,870.25 × 257,870.25
4. Step 4: Simplify right side
   166,084.50x = 66,497,065,835.06
5. Step 5: Solve for x
   x = 66,497,065,835.06/166,084.50
6. Step 6: Final answer
   x = 400,380.93