Finding the Third Proportional to 133.94 and 293.31

Step by Step Solution

1. Step 1: Write the proportion equation
   133.94 : 293.31 = 293.31 : x
2. Step 2: Convert to fraction form
   133.94/293.31 = 293.31/x
3. Step 3: Cross multiply
   133.94x = 293.31 × 293.31
4. Step 4: Simplify right side
   133.94x = 86,032.22
5. Step 5: Solve for x
   x = 86,032.22/133.94
6. Step 6: Final answer
   x = 642.33