Finding the Third Proportional to 105,798 and 230,588

Step by Step Solution

1. Step 1: Write the proportion equation
   105,798 : 230,588 = 230,588 : x
2. Step 2: Convert to fraction form
   105,798/230,588 = 230,588/x
3. Step 3: Cross multiply
   105,798x = 230,588 × 230,588
4. Step 4: Simplify right side
   105,798x = 53,170,825,744
5. Step 5: Solve for x
   x = 53,170,825,744/105,798
6. Step 6: Final answer
   x = 502,569.29