Finding the Third Proportional to 498.25 and 676.25

Step by Step Solution

1. Step 1: Write the proportion equation
   498.25 : 676.25 = 676.25 : x
2. Step 2: Convert to fraction form
   498.25/676.25 = 676.25/x
3. Step 3: Cross multiply
   498.25x = 676.25 × 676.25
4. Step 4: Simplify right side
   498.25x = 457,314.06
5. Step 5: Solve for x
   x = 457,314.06/498.25
6. Step 6: Final answer
   x = 917.84