Finding the Third Proportional to 133.69 and 289.31

Step by Step Solution

1. Step 1: Write the proportion equation
   133.69 : 289.31 = 289.31 : x
2. Step 2: Convert to fraction form
   133.69/289.31 = 289.31/x
3. Step 3: Cross multiply
   133.69x = 289.31 × 289.31
4. Step 4: Simplify right side
   133.69x = 83,701.72
5. Step 5: Solve for x
   x = 83,701.72/133.69
6. Step 6: Final answer
   x = 626.10