Finding the Third Proportional to 258.50 and 400.38

Step by Step Solution

1. Step 1: Write the proportion equation
   258.50 : 400.38 = 400.38 : x
2. Step 2: Convert to fraction form
   258.50/400.38 = 400.38/x
3. Step 3: Cross multiply
   258.50x = 400.38 × 400.38
4. Step 4: Simplify right side
   258.50x = 160,300.14
5. Step 5: Solve for x
   x = 160,300.14/258.50
6. Step 6: Final answer
   x = 620.12