Finding the Third Proportional to 105,096 and 230,631

Step by Step Solution

1. Step 1: Write the proportion equation
   105,096 : 230,631 = 230,631 : x
2. Step 2: Convert to fraction form
   105,096/230,631 = 230,631/x
3. Step 3: Cross multiply
   105,096x = 230,631 × 230,631
4. Step 4: Simplify right side
   105,096x = 53,190,658,161
5. Step 5: Solve for x
   x = 53,190,658,161/105,096
6. Step 6: Final answer
   x = 506,114.96