Finding the Third Proportional to 53,383 and 116,162

Step by Step Solution

1. Step 1: Write the proportion equation
   53,383 : 116,162 = 116,162 : x
2. Step 2: Convert to fraction form
   53,383/116,162 = 116,162/x
3. Step 3: Cross multiply
   53,383x = 116,162 × 116,162
4. Step 4: Simplify right side
   53,383x = 13,493,610,244
5. Step 5: Solve for x
   x = 13,493,610,244/53,383
6. Step 6: Final answer
   x = 252,769.80