Finding the Third Proportional to 309.25 and 401.88

Step by Step Solution

1. Step 1: Write the proportion equation
   309.25 : 401.88 = 401.88 : x
2. Step 2: Convert to fraction form
   309.25/401.88 = 401.88/x
3. Step 3: Cross multiply
   309.25x = 401.88 × 401.88
4. Step 4: Simplify right side
   309.25x = 161,503.52
5. Step 5: Solve for x
   x = 161,503.52/309.25
6. Step 6: Final answer
   x = 522.24