Finding the Third Proportional to 196.31 and 293.86

Step by Step Solution

1. Step 1: Write the proportion equation
   196.31 : 293.86 = 293.86 : x
2. Step 2: Convert to fraction form
   196.31/293.86 = 293.86/x
3. Step 3: Cross multiply
   196.31x = 293.86 × 293.86
4. Step 4: Simplify right side
   196.31x = 86,353.33
5. Step 5: Solve for x
   x = 86,353.33/196.31
6. Step 6: Final answer
   x = 439.88