Finding the Third Proportional to 124.35 and 193.59

Step by Step Solution

1. Step 1: Write the proportion equation
   124.35 : 193.59 = 193.59 : x
2. Step 2: Convert to fraction form
   124.35/193.59 = 193.59/x
3. Step 3: Cross multiply
   124.35x = 193.59 × 193.59
4. Step 4: Simplify right side
   124.35x = 37,476.27
5. Step 5: Solve for x
   x = 37,476.27/124.35
6. Step 6: Final answer
   x = 301.38