Finding the Third Proportional to 159.75 and 389.88

Step by Step Solution

1. Step 1: Write the proportion equation
   159.75 : 389.88 = 389.88 : x
2. Step 2: Convert to fraction form
   159.75/389.88 = 389.88/x
3. Step 3: Cross multiply
   159.75x = 389.88 × 389.88
4. Step 4: Simplify right side
   159.75x = 152,002.52
5. Step 5: Solve for x
   x = 152,002.52/159.75
6. Step 6: Final answer
   x = 951.50