Finding the Third Proportional to 501.89 and 788.48

Step by Step Solution

1. Step 1: Write the proportion equation
   501.89 : 788.48 = 788.48 : x
2. Step 2: Convert to fraction form
   501.89/788.48 = 788.48/x
3. Step 3: Cross multiply
   501.89x = 788.48 × 788.48
4. Step 4: Simplify right side
   501.89x = 621,707.61
5. Step 5: Solve for x
   x = 621,707.61/501.89
6. Step 6: Final answer
   x = 1,238.73