Finding the Third Proportional to 105,101 and 230,642

Step by Step Solution

1. Step 1: Write the proportion equation
   105,101 : 230,642 = 230,642 : x
2. Step 2: Convert to fraction form
   105,101/230,642 = 230,642/x
3. Step 3: Cross multiply
   105,101x = 230,642 × 230,642
4. Step 4: Simplify right side
   105,101x = 53,195,732,164
5. Step 5: Solve for x
   x = 53,195,732,164/105,101
6. Step 6: Final answer
   x = 506,139.16