Finding the Third Proportional to 123,138 and 265,923

Step by Step Solution

1. Step 1: Write the proportion equation
   123,138 : 265,923 = 265,923 : x
2. Step 2: Convert to fraction form
   123,138/265,923 = 265,923/x
3. Step 3: Cross multiply
   123,138x = 265,923 × 265,923
4. Step 4: Simplify right side
   123,138x = 70,715,041,929
5. Step 5: Solve for x
   x = 70,715,041,929/123,138
6. Step 6: Final answer
   x = 574,274.73