Finding the Third Proportional to 493.75 and 1,015.25

Step by Step Solution

1. Step 1: Write the proportion equation
   493.75 : 1,015.25 = 1,015.25 : x
2. Step 2: Convert to fraction form
   493.75/1,015.25 = 1,015.25/x
3. Step 3: Cross multiply
   493.75x = 1,015.25 × 1,015.25
4. Step 4: Simplify right side
   493.75x = 1,030,732.56
5. Step 5: Solve for x
   x = 1,030,732.56/493.75
6. Step 6: Final answer
   x = 2,087.56