Finding the Third Proportional to 343.75 and 521.38

Step by Step Solution

1. Step 1: Write the proportion equation
   343.75 : 521.38 = 521.38 : x
2. Step 2: Convert to fraction form
   343.75/521.38 = 521.38/x
3. Step 3: Cross multiply
   343.75x = 521.38 × 521.38
4. Step 4: Simplify right side
   343.75x = 271,831.89
5. Step 5: Solve for x
   x = 271,831.89/343.75
6. Step 6: Final answer
   x = 790.78