Finding the Third Proportional to 480.25 and 1,047.50

Step by Step Solution

1. Step 1: Write the proportion equation
   480.25 : 1,047.50 = 1,047.50 : x
2. Step 2: Convert to fraction form
   480.25/1,047.50 = 1,047.50/x
3. Step 3: Cross multiply
   480.25x = 1,047.50 × 1,047.50
4. Step 4: Simplify right side
   480.25x = 1,097,256.25
5. Step 5: Solve for x
   x = 1,097,256.25/480.25
6. Step 6: Final answer
   x = 2,284.76