Finding the Third Proportional to 628.50 and 976.69

Step by Step Solution

1. Step 1: Write the proportion equation
   628.50 : 976.69 = 976.69 : x
2. Step 2: Convert to fraction form
   628.50/976.69 = 976.69/x
3. Step 3: Cross multiply
   628.50x = 976.69 × 976.69
4. Step 4: Simplify right side
   628.50x = 953,918.47
5. Step 5: Solve for x
   x = 953,918.47/628.50
6. Step 6: Final answer
   x = 1,517.77