Finding the Third Proportional to 335,064 and 510,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   335,064 : 510,493.50 = 510,493.50 : x
2. Step 2: Convert to fraction form
   335,064/510,493.50 = 510,493.50/x
3. Step 3: Cross multiply
   335,064x = 510,493.50 × 510,493.50
4. Step 4: Simplify right side
   335,064x = 260,603,613,542.25
5. Step 5: Solve for x
   x = 260,603,613,542.25/335,064
6. Step 6: Final answer
   x = 777,772.65