Finding the Third Proportional to 335,892 and 520,066

Step by Step Solution

1. Step 1: Write the proportion equation
   335,892 : 520,066 = 520,066 : x
2. Step 2: Convert to fraction form
   335,892/520,066 = 520,066/x
3. Step 3: Cross multiply
   335,892x = 520,066 × 520,066
4. Step 4: Simplify right side
   335,892x = 270,468,644,356
5. Step 5: Solve for x
   x = 270,468,644,356/335,892
6. Step 6: Final answer
   x = 805,225.03