Finding the Third Proportional to 146.25 and 314.81

Step by Step Solution

1. Step 1: Write the proportion equation
   146.25 : 314.81 = 314.81 : x
2. Step 2: Convert to fraction form
   146.25/314.81 = 314.81/x
3. Step 3: Cross multiply
   146.25x = 314.81 × 314.81
4. Step 4: Simplify right side
   146.25x = 99,106.91
5. Step 5: Solve for x
   x = 99,106.91/146.25
6. Step 6: Final answer
   x = 677.65