Finding the Third Proportional to 510,902 and 773,429

Step by Step Solution

1. Step 1: Write the proportion equation
   510,902 : 773,429 = 773,429 : x
2. Step 2: Convert to fraction form
   510,902/773,429 = 773,429/x
3. Step 3: Cross multiply
   510,902x = 773,429 × 773,429
4. Step 4: Simplify right side
   510,902x = 598,192,418,041
5. Step 5: Solve for x
   x = 598,192,418,041/510,902
6. Step 6: Final answer
   x = 1,170,855.50