Finding the Third Proportional to 148.78 and 316.83

Step by Step Solution

1. Step 1: Write the proportion equation
   148.78 : 316.83 = 316.83 : x
2. Step 2: Convert to fraction form
   148.78/316.83 = 316.83/x
3. Step 3: Cross multiply
   148.78x = 316.83 × 316.83
4. Step 4: Simplify right side
   148.78x = 100,380.06
5. Step 5: Solve for x
   x = 100,380.06/148.78
6. Step 6: Final answer
   x = 674.68