Finding the Third Proportional to 510,686 and 715,620

Step by Step Solution

1. Step 1: Write the proportion equation
   510,686 : 715,620 = 715,620 : x
2. Step 2: Convert to fraction form
   510,686/715,620 = 715,620/x
3. Step 3: Cross multiply
   510,686x = 715,620 × 715,620
4. Step 4: Simplify right side
   510,686x = 512,111,984,400
5. Step 5: Solve for x
   x = 512,111,984,400/510,686
6. Step 6: Final answer
   x = 1,002,792.29