Finding the Third Proportional to 123,210 and 264,831

Step by Step Solution

1. Step 1: Write the proportion equation
   123,210 : 264,831 = 264,831 : x
2. Step 2: Convert to fraction form
   123,210/264,831 = 264,831/x
3. Step 3: Cross multiply
   123,210x = 264,831 × 264,831
4. Step 4: Simplify right side
   123,210x = 70,135,458,561
5. Step 5: Solve for x
   x = 70,135,458,561/123,210
6. Step 6: Final answer
   x = 569,235.12