Finding the Third Proportional to 123,458 and 174,807

Step by Step Solution

1. Step 1: Write the proportion equation
   123,458 : 174,807 = 174,807 : x
2. Step 2: Convert to fraction form
   123,458/174,807 = 174,807/x
3. Step 3: Cross multiply
   123,458x = 174,807 × 174,807
4. Step 4: Simplify right side
   123,458x = 30,557,487,249
5. Step 5: Solve for x
   x = 30,557,487,249/123,458
6. Step 6: Final answer
   x = 247,513.22