Finding the Third Proportional to 335,673 and 512,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   335,673 : 512,275.50 = 512,275.50 : x
2. Step 2: Convert to fraction form
   335,673/512,275.50 = 512,275.50/x
3. Step 3: Cross multiply
   335,673x = 512,275.50 × 512,275.50
4. Step 4: Simplify right side
   335,673x = 262,426,187,900.25
5. Step 5: Solve for x
   x = 262,426,187,900.25/335,673
6. Step 6: Final answer
   x = 781,791.17