Finding the Third Proportional to 105,866 and 232,470

Step by Step Solution

1. Step 1: Write the proportion equation
   105,866 : 232,470 = 232,470 : x
2. Step 2: Convert to fraction form
   105,866/232,470 = 232,470/x
3. Step 3: Cross multiply
   105,866x = 232,470 × 232,470
4. Step 4: Simplify right side
   105,866x = 54,042,300,900
5. Step 5: Solve for x
   x = 54,042,300,900/105,866
6. Step 6: Final answer
   x = 510,478.35