Finding the Third Proportional to 335,950.50 and 509,256

Step by Step Solution

1. Step 1: Write the proportion equation
   335,950.50 : 509,256 = 509,256 : x
2. Step 2: Convert to fraction form
   335,950.50/509,256 = 509,256/x
3. Step 3: Cross multiply
   335,950.50x = 509,256 × 509,256
4. Step 4: Simplify right side
   335,950.50x = 259,341,673,536
5. Step 5: Solve for x
   x = 259,341,673,536/335,950.50
6. Step 6: Final answer
   x = 771,963.95