Finding the Third Proportional to 123,647 and 264,787

Step by Step Solution

1. Step 1: Write the proportion equation
   123,647 : 264,787 = 264,787 : x
2. Step 2: Convert to fraction form
   123,647/264,787 = 264,787/x
3. Step 3: Cross multiply
   123,647x = 264,787 × 264,787
4. Step 4: Simplify right side
   123,647x = 70,112,155,369
5. Step 5: Solve for x
   x = 70,112,155,369/123,647
6. Step 6: Final answer
   x = 567,034.83