Finding the Third Proportional to 70.38 and 159.06

Step by Step Solution

1. Step 1: Write the proportion equation
   70.38 : 159.06 = 159.06 : x
2. Step 2: Convert to fraction form
   70.38/159.06 = 159.06/x
3. Step 3: Cross multiply
   70.38x = 159.06 × 159.06
4. Step 4: Simplify right side
   70.38x = 25,300.88
5. Step 5: Solve for x
   x = 25,300.88/70.38
6. Step 6: Final answer
   x = 359.52