Finding the Third Proportional to 123,014 and 264,895

Step by Step Solution

1. Step 1: Write the proportion equation
   123,014 : 264,895 = 264,895 : x
2. Step 2: Convert to fraction form
   123,014/264,895 = 264,895/x
3. Step 3: Cross multiply
   123,014x = 264,895 × 264,895
4. Step 4: Simplify right side
   123,014x = 70,169,361,025
5. Step 5: Solve for x
   x = 70,169,361,025/123,014
6. Step 6: Final answer
   x = 570,417.68