Finding the Third Proportional to 53,682 and 116,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,682 : 116,584.50 = 116,584.50 : x
2. Step 2: Convert to fraction form
   53,682/116,584.50 = 116,584.50/x
3. Step 3: Cross multiply
   53,682x = 116,584.50 × 116,584.50
4. Step 4: Simplify right side
   53,682x = 13,591,945,640.25
5. Step 5: Solve for x
   x = 13,591,945,640.25/53,682
6. Step 6: Final answer
   x = 253,193.73