Finding the Third Proportional to 196.06 and 410.69

Step by Step Solution

1. Step 1: Write the proportion equation
   196.06 : 410.69 = 410.69 : x
2. Step 2: Convert to fraction form
   196.06/410.69 = 410.69/x
3. Step 3: Cross multiply
   196.06x = 410.69 × 410.69
4. Step 4: Simplify right side
   196.06x = 168,664.22
5. Step 5: Solve for x
   x = 168,664.22/196.06
6. Step 6: Final answer
   x = 860.26