Finding the Third Proportional to 380.50 and 501.88

Step by Step Solution

1. Step 1: Write the proportion equation
   380.50 : 501.88 = 501.88 : x
2. Step 2: Convert to fraction form
   380.50/501.88 = 501.88/x
3. Step 3: Cross multiply
   380.50x = 501.88 × 501.88
4. Step 4: Simplify right side
   380.50x = 251,878.52
5. Step 5: Solve for x
   x = 251,878.52/380.50
6. Step 6: Final answer
   x = 661.97