Finding the Third Proportional to 308.25 and 417.38

Step by Step Solution

1. Step 1: Write the proportion equation
   308.25 : 417.38 = 417.38 : x
2. Step 2: Convert to fraction form
   308.25/417.38 = 417.38/x
3. Step 3: Cross multiply
   308.25x = 417.38 × 417.38
4. Step 4: Simplify right side
   308.25x = 174,201.89
5. Step 5: Solve for x
   x = 174,201.89/308.25
6. Step 6: Final answer
   x = 565.13