Finding the Third Proportional to 501.25 and 678.25

Step by Step Solution

1. Step 1: Write the proportion equation
   501.25 : 678.25 = 678.25 : x
2. Step 2: Convert to fraction form
   501.25/678.25 = 678.25/x
3. Step 3: Cross multiply
   501.25x = 678.25 × 678.25
4. Step 4: Simplify right side
   501.25x = 460,023.06
5. Step 5: Solve for x
   x = 460,023.06/501.25
6. Step 6: Final answer
   x = 917.75