Finding the Third Proportional to 123,014 and 260,608

Step by Step Solution

1. Step 1: Write the proportion equation
   123,014 : 260,608 = 260,608 : x
2. Step 2: Convert to fraction form
   123,014/260,608 = 260,608/x
3. Step 3: Cross multiply
   123,014x = 260,608 × 260,608
4. Step 4: Simplify right side
   123,014x = 67,916,529,664
5. Step 5: Solve for x
   x = 67,916,529,664/123,014
6. Step 6: Final answer
   x = 552,104.07