Finding the Third Proportional to 510,628 and 779,766

Step by Step Solution

1. Step 1: Write the proportion equation
   510,628 : 779,766 = 779,766 : x
2. Step 2: Convert to fraction form
   510,628/779,766 = 779,766/x
3. Step 3: Cross multiply
   510,628x = 779,766 × 779,766
4. Step 4: Simplify right side
   510,628x = 608,035,014,756
5. Step 5: Solve for x
   x = 608,035,014,756/510,628
6. Step 6: Final answer
   x = 1,190,759.25