Finding the Third Proportional to 196.03 and 293.06

Step by Step Solution

1. Step 1: Write the proportion equation
   196.03 : 293.06 = 293.06 : x
2. Step 2: Convert to fraction form
   196.03/293.06 = 293.06/x
3. Step 3: Cross multiply
   196.03x = 293.06 × 293.06
4. Step 4: Simplify right side
   196.03x = 85,885.63
5. Step 5: Solve for x
   x = 85,885.63/196.03
6. Step 6: Final answer
   x = 438.12