Finding the Third Proportional to 223.50 and 467.25

Step by Step Solution

1. Step 1: Write the proportion equation
   223.50 : 467.25 = 467.25 : x
2. Step 2: Convert to fraction form
   223.50/467.25 = 467.25/x
3. Step 3: Cross multiply
   223.50x = 467.25 × 467.25
4. Step 4: Simplify right side
   223.50x = 218,322.56
5. Step 5: Solve for x
   x = 218,322.56/223.50
6. Step 6: Final answer
   x = 976.83