Finding the Third Proportional to 105,966 and 231,615

Step by Step Solution

1. Step 1: Write the proportion equation
   105,966 : 231,615 = 231,615 : x
2. Step 2: Convert to fraction form
   105,966/231,615 = 231,615/x
3. Step 3: Cross multiply
   105,966x = 231,615 × 231,615
4. Step 4: Simplify right side
   105,966x = 53,645,508,225
5. Step 5: Solve for x
   x = 53,645,508,225/105,966
6. Step 6: Final answer
   x = 506,252.08