Finding the Third Proportional to 105,640 and 232,016

Step by Step Solution

1. Step 1: Write the proportion equation
   105,640 : 232,016 = 232,016 : x
2. Step 2: Convert to fraction form
   105,640/232,016 = 232,016/x
3. Step 3: Cross multiply
   105,640x = 232,016 × 232,016
4. Step 4: Simplify right side
   105,640x = 53,831,424,256
5. Step 5: Solve for x
   x = 53,831,424,256/105,640
6. Step 6: Final answer
   x = 509,574.25