Finding the Third Proportional to 123.31 and 193.81

Step by Step Solution

1. Step 1: Write the proportion equation
   123.31 : 193.81 = 193.81 : x
2. Step 2: Convert to fraction form
   123.31/193.81 = 193.81/x
3. Step 3: Cross multiply
   123.31x = 193.81 × 193.81
4. Step 4: Simplify right side
   123.31x = 37,563.29
5. Step 5: Solve for x
   x = 37,563.29/123.31
6. Step 6: Final answer
   x = 304.62