Finding the Third Proportional to 123,345 and 265,401

Step by Step Solution

1. Step 1: Write the proportion equation
   123,345 : 265,401 = 265,401 : x
2. Step 2: Convert to fraction form
   123,345/265,401 = 265,401/x
3. Step 3: Cross multiply
   123,345x = 265,401 × 265,401
4. Step 4: Simplify right side
   123,345x = 70,437,690,801
5. Step 5: Solve for x
   x = 70,437,690,801/123,345
6. Step 6: Final answer
   x = 571,062.39