Finding the Third Proportional to 166,081.50 and 257,872

Step by Step Solution

1. Step 1: Write the proportion equation
   166,081.50 : 257,872 = 257,872 : x
2. Step 2: Convert to fraction form
   166,081.50/257,872 = 257,872/x
3. Step 3: Cross multiply
   166,081.50x = 257,872 × 257,872
4. Step 4: Simplify right side
   166,081.50x = 66,497,968,384
5. Step 5: Solve for x
   x = 66,497,968,384/166,081.50
6. Step 6: Final answer
   x = 400,393.59