Finding the Third Proportional to 477.25 and 1,047.25

Step by Step Solution

1. Step 1: Write the proportion equation
   477.25 : 1,047.25 = 1,047.25 : x
2. Step 2: Convert to fraction form
   477.25/1,047.25 = 1,047.25/x
3. Step 3: Cross multiply
   477.25x = 1,047.25 × 1,047.25
4. Step 4: Simplify right side
   477.25x = 1,096,732.56
5. Step 5: Solve for x
   x = 1,096,732.56/477.25
6. Step 6: Final answer
   x = 2,298.03