Finding the Third Proportional to 109.69 and 148.78

Step by Step Solution

1. Step 1: Write the proportion equation
   109.69 : 148.78 = 148.78 : x
2. Step 2: Convert to fraction form
   109.69/148.78 = 148.78/x
3. Step 3: Cross multiply
   109.69x = 148.78 × 148.78
4. Step 4: Simplify right side
   109.69x = 22,135.86
5. Step 5: Solve for x
   x = 22,135.86/109.69
6. Step 6: Final answer
   x = 201.81