Finding the Third Proportional to 123,353 and 265,740

Step by Step Solution

1. Step 1: Write the proportion equation
   123,353 : 265,740 = 265,740 : x
2. Step 2: Convert to fraction form
   123,353/265,740 = 265,740/x
3. Step 3: Cross multiply
   123,353x = 265,740 × 265,740
4. Step 4: Simplify right side
   123,353x = 70,617,747,600
5. Step 5: Solve for x
   x = 70,617,747,600/123,353
6. Step 6: Final answer
   x = 572,485.04