Finding the Third Proportional to 103.59 and 149.78

Step by Step Solution

1. Step 1: Write the proportion equation
   103.59 : 149.78 = 149.78 : x
2. Step 2: Convert to fraction form
   103.59/149.78 = 149.78/x
3. Step 3: Cross multiply
   103.59x = 149.78 × 149.78
4. Step 4: Simplify right side
   103.59x = 22,435.01
5. Step 5: Solve for x
   x = 22,435.01/103.59
6. Step 6: Final answer
   x = 216.58