Finding the Third Proportional to 147.09 and 316.83

Step by Step Solution

1. Step 1: Write the proportion equation
   147.09 : 316.83 = 316.83 : x
2. Step 2: Convert to fraction form
   147.09/316.83 = 316.83/x
3. Step 3: Cross multiply
   147.09x = 316.83 × 316.83
4. Step 4: Simplify right side
   147.09x = 100,380.06
5. Step 5: Solve for x
   x = 100,380.06/147.09
6. Step 6: Final answer
   x = 682.42