Finding the Third Proportional to 337.71 and 511.52

Step by Step Solution

1. Step 1: Write the proportion equation
   337.71 : 511.52 = 511.52 : x
2. Step 2: Convert to fraction form
   337.71/511.52 = 511.52/x
3. Step 3: Cross multiply
   337.71x = 511.52 × 511.52
4. Step 4: Simplify right side
   337.71x = 261,656.23
5. Step 5: Solve for x
   x = 261,656.23/337.71
6. Step 6: Final answer
   x = 774.79