Finding the Third Proportional to 105,710 and 230,372

Step by Step Solution

1. Step 1: Write the proportion equation
   105,710 : 230,372 = 230,372 : x
2. Step 2: Convert to fraction form
   105,710/230,372 = 230,372/x
3. Step 3: Cross multiply
   105,710x = 230,372 × 230,372
4. Step 4: Simplify right side
   105,710x = 53,071,258,384
5. Step 5: Solve for x
   x = 53,071,258,384/105,710
6. Step 6: Final answer
   x = 502,045.77