Finding the Third Proportional to 105,120 and 230,682

Step by Step Solution

1. Step 1: Write the proportion equation
   105,120 : 230,682 = 230,682 : x
2. Step 2: Convert to fraction form
   105,120/230,682 = 230,682/x
3. Step 3: Cross multiply
   105,120x = 230,682 × 230,682
4. Step 4: Simplify right side
   105,120x = 53,214,185,124
5. Step 5: Solve for x
   x = 53,214,185,124/105,120
6. Step 6: Final answer
   x = 506,223.22