Finding the Third Proportional to 145,710 and 231,694

Step by Step Solution

1. Step 1: Write the proportion equation
   145,710 : 231,694 = 231,694 : x
2. Step 2: Convert to fraction form
   145,710/231,694 = 231,694/x
3. Step 3: Cross multiply
   145,710x = 231,694 × 231,694
4. Step 4: Simplify right side
   145,710x = 53,682,109,636
5. Step 5: Solve for x
   x = 53,682,109,636/145,710
6. Step 6: Final answer
   x = 368,417.47