Finding the Third Proportional to 676.50 and 914.25

Step by Step Solution

1. Step 1: Write the proportion equation
   676.50 : 914.25 = 914.25 : x
2. Step 2: Convert to fraction form
   676.50/914.25 = 914.25/x
3. Step 3: Cross multiply
   676.50x = 914.25 × 914.25
4. Step 4: Simplify right side
   676.50x = 835,853.06
5. Step 5: Solve for x
   x = 835,853.06/676.50
6. Step 6: Final answer
   x = 1,235.56