Finding the Third Proportional to 500,111 and 714,648

Step by Step Solution

1. Step 1: Write the proportion equation
   500,111 : 714,648 = 714,648 : x
2. Step 2: Convert to fraction form
   500,111/714,648 = 714,648/x
3. Step 3: Cross multiply
   500,111x = 714,648 × 714,648
4. Step 4: Simplify right side
   500,111x = 510,721,763,904
5. Step 5: Solve for x
   x = 510,721,763,904/500,111
6. Step 6: Final answer
   x = 1,021,216.82