Finding the Third Proportional to 123,354 and 265,741

Step by Step Solution

1. Step 1: Write the proportion equation
   123,354 : 265,741 = 265,741 : x
2. Step 2: Convert to fraction form
   123,354/265,741 = 265,741/x
3. Step 3: Cross multiply
   123,354x = 265,741 × 265,741
4. Step 4: Simplify right side
   123,354x = 70,618,279,081
5. Step 5: Solve for x
   x = 70,618,279,081/123,354
6. Step 6: Final answer
   x = 572,484.71