Finding the Third Proportional to 123,144 and 265,934

Step by Step Solution

1. Step 1: Write the proportion equation
   123,144 : 265,934 = 265,934 : x
2. Step 2: Convert to fraction form
   123,144/265,934 = 265,934/x
3. Step 3: Cross multiply
   123,144x = 265,934 × 265,934
4. Step 4: Simplify right side
   123,144x = 70,720,892,356
5. Step 5: Solve for x
   x = 70,720,892,356/123,144
6. Step 6: Final answer
   x = 574,294.26