Finding the Third Proportional to 477.38 and 1,047.38

Step by Step Solution

1. Step 1: Write the proportion equation
   477.38 : 1,047.38 = 1,047.38 : x
2. Step 2: Convert to fraction form
   477.38/1,047.38 = 1,047.38/x
3. Step 3: Cross multiply
   477.38x = 1,047.38 × 1,047.38
4. Step 4: Simplify right side
   477.38x = 1,096,994.39
5. Step 5: Solve for x
   x = 1,096,994.39/477.38
6. Step 6: Final answer
   x = 2,297.97