Finding the Third Proportional to 166,899 and 256,180.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,899 : 256,180.50 = 256,180.50 : x
2. Step 2: Convert to fraction form
   166,899/256,180.50 = 256,180.50/x
3. Step 3: Cross multiply
   166,899x = 256,180.50 × 256,180.50
4. Step 4: Simplify right side
   166,899x = 65,628,448,580.25
5. Step 5: Solve for x
   x = 65,628,448,580.25/166,899
6. Step 6: Final answer
   x = 393,222.54