Finding the Third Proportional to 90.47 and 159.84

Step by Step Solution

1. Step 1: Write the proportion equation
   90.47 : 159.84 = 159.84 : x
2. Step 2: Convert to fraction form
   90.47/159.84 = 159.84/x
3. Step 3: Cross multiply
   90.47x = 159.84 × 159.84
4. Step 4: Simplify right side
   90.47x = 25,550.02
5. Step 5: Solve for x
   x = 25,550.02/90.47
6. Step 6: Final answer
   x = 282.42