Finding the Third Proportional to 561.38 and 839.25

Step by Step Solution

1. Step 1: Write the proportion equation
   561.38 : 839.25 = 839.25 : x
2. Step 2: Convert to fraction form
   561.38/839.25 = 839.25/x
3. Step 3: Cross multiply
   561.38x = 839.25 × 839.25
4. Step 4: Simplify right side
   561.38x = 704,340.56
5. Step 5: Solve for x
   x = 704,340.56/561.38
6. Step 6: Final answer
   x = 1,254.67