Finding the Third Proportional to 319.88 and 501.38

Step by Step Solution

1. Step 1: Write the proportion equation
   319.88 : 501.38 = 501.38 : x
2. Step 2: Convert to fraction form
   319.88/501.38 = 501.38/x
3. Step 3: Cross multiply
   319.88x = 501.38 × 501.38
4. Step 4: Simplify right side
   319.88x = 251,376.89
5. Step 5: Solve for x
   x = 251,376.89/319.88
6. Step 6: Final answer
   x = 785.86