Finding the Third Proportional to 159.84 and 333.89

Step by Step Solution

1. Step 1: Write the proportion equation
   159.84 : 333.89 = 333.89 : x
2. Step 2: Convert to fraction form
   159.84/333.89 = 333.89/x
3. Step 3: Cross multiply
   159.84x = 333.89 × 333.89
4. Step 4: Simplify right side
   159.84x = 111,482.95
5. Step 5: Solve for x
   x = 111,482.95/159.84
6. Step 6: Final answer
   x = 697.45