Finding the Third Proportional to 678.38 and 1,075.78

Step by Step Solution

1. Step 1: Write the proportion equation
   678.38 : 1,075.78 = 1,075.78 : x
2. Step 2: Convert to fraction form
   678.38/1,075.78 = 1,075.78/x
3. Step 3: Cross multiply
   678.38x = 1,075.78 × 1,075.78
4. Step 4: Simplify right side
   678.38x = 1,157,305.30
5. Step 5: Solve for x
   x = 1,157,305.30/678.38
6. Step 6: Final answer
   x = 1,706.00