Finding the Third Proportional to 146.50 and 314.56

Step by Step Solution

1. Step 1: Write the proportion equation
   146.50 : 314.56 = 314.56 : x
2. Step 2: Convert to fraction form
   146.50/314.56 = 314.56/x
3. Step 3: Cross multiply
   146.50x = 314.56 × 314.56
4. Step 4: Simplify right side
   146.50x = 98,949.57
5. Step 5: Solve for x
   x = 98,949.57/146.50
6. Step 6: Final answer
   x = 675.42