Finding the Third Proportional to 105,096 and 230,634

Step by Step Solution

1. Step 1: Write the proportion equation
   105,096 : 230,634 = 230,634 : x
2. Step 2: Convert to fraction form
   105,096/230,634 = 230,634/x
3. Step 3: Cross multiply
   105,096x = 230,634 × 230,634
4. Step 4: Simplify right side
   105,096x = 53,192,041,956
5. Step 5: Solve for x
   x = 53,192,041,956/105,096
6. Step 6: Final answer
   x = 506,128.13