Finding the Third Proportional to 105,858 and 232,020

Step by Step Solution

1. Step 1: Write the proportion equation
   105,858 : 232,020 = 232,020 : x
2. Step 2: Convert to fraction form
   105,858/232,020 = 232,020/x
3. Step 3: Cross multiply
   105,858x = 232,020 × 232,020
4. Step 4: Simplify right side
   105,858x = 53,833,280,400
5. Step 5: Solve for x
   x = 53,833,280,400/105,858
6. Step 6: Final answer
   x = 508,542.39