Finding the Third Proportional to 123,666 and 174,699

Step by Step Solution

1. Step 1: Write the proportion equation
   123,666 : 174,699 = 174,699 : x
2. Step 2: Convert to fraction form
   123,666/174,699 = 174,699/x
3. Step 3: Cross multiply
   123,666x = 174,699 × 174,699
4. Step 4: Simplify right side
   123,666x = 30,519,740,601
5. Step 5: Solve for x
   x = 30,519,740,601/123,666
6. Step 6: Final answer
   x = 246,791.69