Finding the Third Proportional to 142.69 and 344.88

Step by Step Solution

1. Step 1: Write the proportion equation
   142.69 : 344.88 = 344.88 : x
2. Step 2: Convert to fraction form
   142.69/344.88 = 344.88/x
3. Step 3: Cross multiply
   142.69x = 344.88 × 344.88
4. Step 4: Simplify right side
   142.69x = 118,938.77
5. Step 5: Solve for x
   x = 118,938.77/142.69
6. Step 6: Final answer
   x = 833.56