Finding the Third Proportional to 501,936 and 715,494

Step by Step Solution

1. Step 1: Write the proportion equation
   501,936 : 715,494 = 715,494 : x
2. Step 2: Convert to fraction form
   501,936/715,494 = 715,494/x
3. Step 3: Cross multiply
   501,936x = 715,494 × 715,494
4. Step 4: Simplify right side
   501,936x = 511,931,664,036
5. Step 5: Solve for x
   x = 511,931,664,036/501,936
6. Step 6: Final answer
   x = 1,019,914.22