Finding the Third Proportional to 375.50 and 559.25

Step by Step Solution

1. Step 1: Write the proportion equation
   375.50 : 559.25 = 559.25 : x
2. Step 2: Convert to fraction form
   375.50/559.25 = 559.25/x
3. Step 3: Cross multiply
   375.50x = 559.25 × 559.25
4. Step 4: Simplify right side
   375.50x = 312,760.56
5. Step 5: Solve for x
   x = 312,760.56/375.50
6. Step 6: Final answer
   x = 832.92