Finding the Third Proportional to 105,141.50 and 230,638.56

Step by Step Solution

1. Step 1: Write the proportion equation
   105,141.50 : 230,638.56 = 230,638.56 : x
2. Step 2: Convert to fraction form
   105,141.50/230,638.56 = 230,638.56/x
3. Step 3: Cross multiply
   105,141.50x = 230,638.56 × 230,638.56
4. Step 4: Simplify right side
   105,141.50x = 53,194,146,512.07
5. Step 5: Solve for x
   x = 53,194,146,512.07/105,141.50
6. Step 6: Final answer
   x = 505,929.12