Finding the Third Proportional to 123,042 and 260,664

Step by Step Solution

1. Step 1: Write the proportion equation
   123,042 : 260,664 = 260,664 : x
2. Step 2: Convert to fraction form
   123,042/260,664 = 260,664/x
3. Step 3: Cross multiply
   123,042x = 260,664 × 260,664
4. Step 4: Simplify right side
   123,042x = 67,945,720,896
5. Step 5: Solve for x
   x = 67,945,720,896/123,042
6. Step 6: Final answer
   x = 552,215.67