Finding the Third Proportional to 105,142 and 230,639.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,142 : 230,639.50 = 230,639.50 : x
2. Step 2: Convert to fraction form
   105,142/230,639.50 = 230,639.50/x
3. Step 3: Cross multiply
   105,142x = 230,639.50 × 230,639.50
4. Step 4: Simplify right side
   105,142x = 53,194,578,960.25
5. Step 5: Solve for x
   x = 53,194,578,960.25/105,142
6. Step 6: Final answer
   x = 505,930.83