Finding the Third Proportional to 1,147.78 and 1,251.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.78 : 1,251.56 = 1,251.56 : x
2. Step 2: Convert to fraction form
   1,147.78/1,251.56 = 1,251.56/x
3. Step 3: Cross multiply
   1,147.78x = 1,251.56 × 1,251.56
4. Step 4: Simplify right side
   1,147.78x = 1,566,408.69
5. Step 5: Solve for x
   x = 1,566,408.69/1,147.78
6. Step 6: Final answer
   x = 1,364.73