Finding the Third Proportional to 58,974 and 123,412

Step by Step Solution

1. Step 1: Write the proportion equation
   58,974 : 123,412 = 123,412 : x
2. Step 2: Convert to fraction form
   58,974/123,412 = 123,412/x
3. Step 3: Cross multiply
   58,974x = 123,412 × 123,412
4. Step 4: Simplify right side
   58,974x = 15,230,521,744
5. Step 5: Solve for x
   x = 15,230,521,744/58,974
6. Step 6: Final answer
   x = 258,258.25