Finding the Third Proportional to 354,892 and 536,036

Step by Step Solution

1. Step 1: Write the proportion equation
   354,892 : 536,036 = 536,036 : x
2. Step 2: Convert to fraction form
   354,892/536,036 = 536,036/x
3. Step 3: Cross multiply
   354,892x = 536,036 × 536,036
4. Step 4: Simplify right side
   354,892x = 287,334,593,296
5. Step 5: Solve for x
   x = 287,334,593,296/354,892
6. Step 6: Final answer
   x = 809,639.53