Finding the Third Proportional to 403,500 and 565,494

Step by Step Solution

1. Step 1: Write the proportion equation
   403,500 : 565,494 = 565,494 : x
2. Step 2: Convert to fraction form
   403,500/565,494 = 565,494/x
3. Step 3: Cross multiply
   403,500x = 565,494 × 565,494
4. Step 4: Simplify right side
   403,500x = 319,783,464,036
5. Step 5: Solve for x
   x = 319,783,464,036/403,500
6. Step 6: Final answer
   x = 792,524.07