Finding the Third Proportional to 123,459 and 265,653

Step by Step Solution

1. Step 1: Write the proportion equation
   123,459 : 265,653 = 265,653 : x
2. Step 2: Convert to fraction form
   123,459/265,653 = 265,653/x
3. Step 3: Cross multiply
   123,459x = 265,653 × 265,653
4. Step 4: Simplify right side
   123,459x = 70,571,516,409
5. Step 5: Solve for x
   x = 70,571,516,409/123,459
6. Step 6: Final answer
   x = 571,619.05