Finding the Third Proportional to 375.88 and 501.69

Step by Step Solution

1. Step 1: Write the proportion equation
   375.88 : 501.69 = 501.69 : x
2. Step 2: Convert to fraction form
   375.88/501.69 = 501.69/x
3. Step 3: Cross multiply
   375.88x = 501.69 × 501.69
4. Step 4: Simplify right side
   375.88x = 251,690.35
5. Step 5: Solve for x
   x = 251,690.35/375.88
6. Step 6: Final answer
   x = 669.61