Finding the Third Proportional to 166,185 and 256,189.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,185 : 256,189.50 = 256,189.50 : x
2. Step 2: Convert to fraction form
   166,185/256,189.50 = 256,189.50/x
3. Step 3: Cross multiply
   166,185x = 256,189.50 × 256,189.50
4. Step 4: Simplify right side
   166,185x = 65,633,059,910.25
5. Step 5: Solve for x
   x = 65,633,059,910.25/166,185
6. Step 6: Final answer
   x = 394,939.74