Finding the Third Proportional to 146.10 and 314.27

Step by Step Solution

1. Step 1: Write the proportion equation
   146.10 : 314.27 = 314.27 : x
2. Step 2: Convert to fraction form
   146.10/314.27 = 314.27/x
3. Step 3: Cross multiply
   146.10x = 314.27 × 314.27
4. Step 4: Simplify right side
   146.10x = 98,765.95
5. Step 5: Solve for x
   x = 98,765.95/146.10
6. Step 6: Final answer
   x = 676.01