Finding the Third Proportional to 123,605 and 264,708

Step by Step Solution

1. Step 1: Write the proportion equation
   123,605 : 264,708 = 264,708 : x
2. Step 2: Convert to fraction form
   123,605/264,708 = 264,708/x
3. Step 3: Cross multiply
   123,605x = 264,708 × 264,708
4. Step 4: Simplify right side
   123,605x = 70,070,325,264
5. Step 5: Solve for x
   x = 70,070,325,264/123,605
6. Step 6: Final answer
   x = 566,889.08