Finding the Third Proportional to 262.83 and 390.52

Step by Step Solution

1. Step 1: Write the proportion equation
   262.83 : 390.52 = 390.52 : x
2. Step 2: Convert to fraction form
   262.83/390.52 = 390.52/x
3. Step 3: Cross multiply
   262.83x = 390.52 × 390.52
4. Step 4: Simplify right side
   262.83x = 152,502.45
5. Step 5: Solve for x
   x = 152,502.45/262.83
6. Step 6: Final answer
   x = 580.24