Finding the Third Proportional to 105,144.19 and 230,644.69

Step by Step Solution

1. Step 1: Write the proportion equation
   105,144.19 : 230,644.69 = 230,644.69 : x
2. Step 2: Convert to fraction form
   105,144.19/230,644.69 = 230,644.69/x
3. Step 3: Cross multiply
   105,144.19x = 230,644.69 × 230,644.69
4. Step 4: Simplify right side
   105,144.19x = 53,196,971,871.97
5. Step 5: Solve for x
   x = 53,196,971,871.97/105,144.19
6. Step 6: Final answer
   x = 505,943.06