Finding the Third Proportional to 470.39 and 628.59

Step by Step Solution

1. Step 1: Write the proportion equation
   470.39 : 628.59 = 628.59 : x
2. Step 2: Convert to fraction form
   470.39/628.59 = 628.59/x
3. Step 3: Cross multiply
   470.39x = 628.59 × 628.59
4. Step 4: Simplify right side
   470.39x = 395,130.10
5. Step 5: Solve for x
   x = 395,130.10/470.39
6. Step 6: Final answer
   x = 840.00