Finding the Third Proportional to 105,264 and 233,856

Step by Step Solution

1. Step 1: Write the proportion equation
   105,264 : 233,856 = 233,856 : x
2. Step 2: Convert to fraction form
   105,264/233,856 = 233,856/x
3. Step 3: Cross multiply
   105,264x = 233,856 × 233,856
4. Step 4: Simplify right side
   105,264x = 54,688,628,736
5. Step 5: Solve for x
   x = 54,688,628,736/105,264
6. Step 6: Final answer
   x = 519,537.82