Finding the Third Proportional to 373.78 and 628.59

Step by Step Solution

1. Step 1: Write the proportion equation
   373.78 : 628.59 = 628.59 : x
2. Step 2: Convert to fraction form
   373.78/628.59 = 628.59/x
3. Step 3: Cross multiply
   373.78x = 628.59 × 628.59
4. Step 4: Simplify right side
   373.78x = 395,130.10
5. Step 5: Solve for x
   x = 395,130.10/373.78
6. Step 6: Final answer
   x = 1,057.12