Finding the Third Proportional to 146.81 and 316.31

Step by Step Solution

1. Step 1: Write the proportion equation
   146.81 : 316.31 = 316.31 : x
2. Step 2: Convert to fraction form
   146.81/316.31 = 316.31/x
3. Step 3: Cross multiply
   146.81x = 316.31 × 316.31
4. Step 4: Simplify right side
   146.81x = 100,053.60
5. Step 5: Solve for x
   x = 100,053.60/146.81
6. Step 6: Final answer
   x = 681.51