Finding the Third Proportional to 123,456.38 and 185,122.13

Step by Step Solution

1. Step 1: Write the proportion equation
   123,456.38 : 185,122.13 = 185,122.13 : x
2. Step 2: Convert to fraction form
   123,456.38/185,122.13 = 185,122.13/x
3. Step 3: Cross multiply
   123,456.38x = 185,122.13 × 185,122.13
4. Step 4: Simplify right side
   123,456.38x = 34,270,201,164.52
5. Step 5: Solve for x
   x = 34,270,201,164.52/123,456.38
6. Step 6: Final answer
   x = 277,589.56