Finding the Third Proportional to 81,974 and 123,538

Step by Step Solution

1. Step 1: Write the proportion equation
   81,974 : 123,538 = 123,538 : x
2. Step 2: Convert to fraction form
   81,974/123,538 = 123,538/x
3. Step 3: Cross multiply
   81,974x = 123,538 × 123,538
4. Step 4: Simplify right side
   81,974x = 15,261,637,444
5. Step 5: Solve for x
   x = 15,261,637,444/81,974
6. Step 6: Final answer
   x = 186,176.56