Finding the Third Proportional to 105,142 and 230,639.75

Step by Step Solution

1. Step 1: Write the proportion equation
   105,142 : 230,639.75 = 230,639.75 : x
2. Step 2: Convert to fraction form
   105,142/230,639.75 = 230,639.75/x
3. Step 3: Cross multiply
   105,142x = 230,639.75 × 230,639.75
4. Step 4: Simplify right side
   105,142x = 53,194,694,280.06
5. Step 5: Solve for x
   x = 53,194,694,280.06/105,142
6. Step 6: Final answer
   x = 505,931.92