Finding the Third Proportional to 123,644 and 264,780

Step by Step Solution

1. Step 1: Write the proportion equation
   123,644 : 264,780 = 264,780 : x
2. Step 2: Convert to fraction form
   123,644/264,780 = 264,780/x
3. Step 3: Cross multiply
   123,644x = 264,780 × 264,780
4. Step 4: Simplify right side
   123,644x = 70,108,448,400
5. Step 5: Solve for x
   x = 70,108,448,400/123,644
6. Step 6: Final answer
   x = 567,018.61