Finding the Third Proportional to 53,682 and 116,595.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,682 : 116,595.75 = 116,595.75 : x
2. Step 2: Convert to fraction form
   53,682/116,595.75 = 116,595.75/x
3. Step 3: Cross multiply
   53,682x = 116,595.75 × 116,595.75
4. Step 4: Simplify right side
   53,682x = 13,594,568,918.06
5. Step 5: Solve for x
   x = 13,594,568,918.06/53,682
6. Step 6: Final answer
   x = 253,242.59