Finding the Third Proportional to 344.57 and 700.52

Step by Step Solution

1. Step 1: Write the proportion equation
   344.57 : 700.52 = 700.52 : x
2. Step 2: Convert to fraction form
   344.57/700.52 = 700.52/x
3. Step 3: Cross multiply
   344.57x = 700.52 × 700.52
4. Step 4: Simplify right side
   344.57x = 490,733.09
5. Step 5: Solve for x
   x = 490,733.09/344.57
6. Step 6: Final answer
   x = 1,424.20