Finding the Third Proportional to 123,299 and 265,024

Step by Step Solution

1. Step 1: Write the proportion equation
   123,299 : 265,024 = 265,024 : x
2. Step 2: Convert to fraction form
   123,299/265,024 = 265,024/x
3. Step 3: Cross multiply
   123,299x = 265,024 × 265,024
4. Step 4: Simplify right side
   123,299x = 70,237,720,576
5. Step 5: Solve for x
   x = 70,237,720,576/123,299
6. Step 6: Final answer
   x = 569,653.61