Finding the Third Proportional to 510,714 and 773,181

Step by Step Solution

1. Step 1: Write the proportion equation
   510,714 : 773,181 = 773,181 : x
2. Step 2: Convert to fraction form
   510,714/773,181 = 773,181/x
3. Step 3: Cross multiply
   510,714x = 773,181 × 773,181
4. Step 4: Simplify right side
   510,714x = 597,808,858,761
5. Step 5: Solve for x
   x = 597,808,858,761/510,714
6. Step 6: Final answer
   x = 1,170,535.48