Finding the Third Proportional to 166,473 and 256,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,473 : 256,149.50 = 256,149.50 : x
2. Step 2: Convert to fraction form
   166,473/256,149.50 = 256,149.50/x
3. Step 3: Cross multiply
   166,473x = 256,149.50 × 256,149.50
4. Step 4: Simplify right side
   166,473x = 65,612,566,350.25
5. Step 5: Solve for x
   x = 65,612,566,350.25/166,473
6. Step 6: Final answer
   x = 394,133.38