Finding the Third Proportional to 105,561 and 230,058

Step by Step Solution

1. Step 1: Write the proportion equation
   105,561 : 230,058 = 230,058 : x
2. Step 2: Convert to fraction form
   105,561/230,058 = 230,058/x
3. Step 3: Cross multiply
   105,561x = 230,058 × 230,058
4. Step 4: Simplify right side
   105,561x = 52,926,683,364
5. Step 5: Solve for x
   x = 52,926,683,364/105,561
6. Step 6: Final answer
   x = 501,384.82