Finding the Third Proportional to 500,107 and 714,640

Step by Step Solution

1. Step 1: Write the proportion equation
   500,107 : 714,640 = 714,640 : x
2. Step 2: Convert to fraction form
   500,107/714,640 = 714,640/x
3. Step 3: Cross multiply
   500,107x = 714,640 × 714,640
4. Step 4: Simplify right side
   500,107x = 510,710,329,600
5. Step 5: Solve for x
   x = 510,710,329,600/500,107
6. Step 6: Final answer
   x = 1,021,202.12