Finding the Third Proportional to 101.91 and 193.31

Step by Step Solution

1. Step 1: Write the proportion equation
   101.91 : 193.31 = 193.31 : x
2. Step 2: Convert to fraction form
   101.91/193.31 = 193.31/x
3. Step 3: Cross multiply
   101.91x = 193.31 × 193.31
4. Step 4: Simplify right side
   101.91x = 37,369.72
5. Step 5: Solve for x
   x = 37,369.72/101.91
6. Step 6: Final answer
   x = 366.71