Finding the Third Proportional to 510,678 and 715,608

Step by Step Solution

1. Step 1: Write the proportion equation
   510,678 : 715,608 = 715,608 : x
2. Step 2: Convert to fraction form
   510,678/715,608 = 715,608/x
3. Step 3: Cross multiply
   510,678x = 715,608 × 715,608
4. Step 4: Simplify right side
   510,678x = 512,094,809,664
5. Step 5: Solve for x
   x = 512,094,809,664/510,678
6. Step 6: Final answer
   x = 1,002,774.37