Finding the Third Proportional to 166,300.50 and 256,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   166,300.50 : 256,012.50 = 256,012.50 : x
2. Step 2: Convert to fraction form
   166,300.50/256,012.50 = 256,012.50/x
3. Step 3: Cross multiply
   166,300.50x = 256,012.50 × 256,012.50
4. Step 4: Simplify right side
   166,300.50x = 65,542,400,156.25
5. Step 5: Solve for x
   x = 65,542,400,156.25/166,300.50
6. Step 6: Final answer
   x = 394,120.28