Finding the Third Proportional to 500,113 and 714,651

Step by Step Solution

1. Step 1: Write the proportion equation
   500,113 : 714,651 = 714,651 : x
2. Step 2: Convert to fraction form
   500,113/714,651 = 714,651/x
3. Step 3: Cross multiply
   500,113x = 714,651 × 714,651
4. Step 4: Simplify right side
   500,113x = 510,726,051,801
5. Step 5: Solve for x
   x = 510,726,051,801/500,113
6. Step 6: Final answer
   x = 1,021,221.31