Finding the Third Proportional to 91.31 and 193.27

Step by Step Solution

1. Step 1: Write the proportion equation
   91.31 : 193.27 = 193.27 : x
2. Step 2: Convert to fraction form
   91.31/193.27 = 193.27/x
3. Step 3: Cross multiply
   91.31x = 193.27 × 193.27
4. Step 4: Simplify right side
   91.31x = 37,351.60
5. Step 5: Solve for x
   x = 37,351.60/91.31
6. Step 6: Final answer
   x = 409.05