Finding the Third Proportional to 53,336 and 113,231

Step by Step Solution

1. Step 1: Write the proportion equation
   53,336 : 113,231 = 113,231 : x
2. Step 2: Convert to fraction form
   53,336/113,231 = 113,231/x
3. Step 3: Cross multiply
   53,336x = 113,231 × 113,231
4. Step 4: Simplify right side
   53,336x = 12,821,259,361
5. Step 5: Solve for x
   x = 12,821,259,361/53,336
6. Step 6: Final answer
   x = 240,386.59