Finding the Third Proportional to 191.06 and 397.31

Step by Step Solution

1. Step 1: Write the proportion equation
   191.06 : 397.31 = 397.31 : x
2. Step 2: Convert to fraction form
   191.06/397.31 = 397.31/x
3. Step 3: Cross multiply
   191.06x = 397.31 × 397.31
4. Step 4: Simplify right side
   191.06x = 157,857.22
5. Step 5: Solve for x
   x = 157,857.22/191.06
6. Step 6: Final answer
   x = 826.21