Finding the Third Proportional to 380.50 and 573.25

Step by Step Solution

1. Step 1: Write the proportion equation
   380.50 : 573.25 = 573.25 : x
2. Step 2: Convert to fraction form
   380.50/573.25 = 573.25/x
3. Step 3: Cross multiply
   380.50x = 573.25 × 573.25
4. Step 4: Simplify right side
   380.50x = 328,615.56
5. Step 5: Solve for x
   x = 328,615.56/380.50
6. Step 6: Final answer
   x = 863.64