Finding the Third Proportional to 166,317 and 256,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,317 : 256,036.50 = 256,036.50 : x
2. Step 2: Convert to fraction form
   166,317/256,036.50 = 256,036.50/x
3. Step 3: Cross multiply
   166,317x = 256,036.50 × 256,036.50
4. Step 4: Simplify right side
   166,317x = 65,554,689,332.25
5. Step 5: Solve for x
   x = 65,554,689,332.25/166,317
6. Step 6: Final answer
   x = 394,155.07