Finding the Third Proportional to 123,463 and 265,661

Step by Step Solution

1. Step 1: Write the proportion equation
   123,463 : 265,661 = 265,661 : x
2. Step 2: Convert to fraction form
   123,463/265,661 = 265,661/x
3. Step 3: Cross multiply
   123,463x = 265,661 × 265,661
4. Step 4: Simplify right side
   123,463x = 70,575,766,921
5. Step 5: Solve for x
   x = 70,575,766,921/123,463
6. Step 6: Final answer
   x = 571,634.96