Finding the Third Proportional to 148.78 and 155.53

Step by Step Solution

1. Step 1: Write the proportion equation
   148.78 : 155.53 = 155.53 : x
2. Step 2: Convert to fraction form
   148.78/155.53 = 155.53/x
3. Step 3: Cross multiply
   148.78x = 155.53 × 155.53
4. Step 4: Simplify right side
   148.78x = 24,189.97
5. Step 5: Solve for x
   x = 24,189.97/148.78
6. Step 6: Final answer
   x = 162.59