Finding the Third Proportional to 501,851 and 715,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   501,851 : 715,399.50 = 715,399.50 : x
2. Step 2: Convert to fraction form
   501,851/715,399.50 = 715,399.50/x
3. Step 3: Cross multiply
   501,851x = 715,399.50 × 715,399.50
4. Step 4: Simplify right side
   501,851x = 511,796,444,600.25
5. Step 5: Solve for x
   x = 511,796,444,600.25/501,851
6. Step 6: Final answer
   x = 1,019,817.52