Finding the Third Proportional to 53,083.50 and 116,011.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,083.50 : 116,011.50 = 116,011.50 : x
2. Step 2: Convert to fraction form
   53,083.50/116,011.50 = 116,011.50/x
3. Step 3: Cross multiply
   53,083.50x = 116,011.50 × 116,011.50
4. Step 4: Simplify right side
   53,083.50x = 13,458,668,132.25
5. Step 5: Solve for x
   x = 13,458,668,132.25/53,083.50
6. Step 6: Final answer
   x = 253,537.69