Finding the Third Proportional to 243.50 and 515.38

Step by Step Solution

1. Step 1: Write the proportion equation
   243.50 : 515.38 = 515.38 : x
2. Step 2: Convert to fraction form
   243.50/515.38 = 515.38/x
3. Step 3: Cross multiply
   243.50x = 515.38 × 515.38
4. Step 4: Simplify right side
   243.50x = 265,611.39
5. Step 5: Solve for x
   x = 265,611.39/243.50
6. Step 6: Final answer
   x = 1,090.81