Finding the Third Proportional to 53,581.50 and 116,518.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,581.50 : 116,518.50 = 116,518.50 : x
2. Step 2: Convert to fraction form
   53,581.50/116,518.50 = 116,518.50/x
3. Step 3: Cross multiply
   53,581.50x = 116,518.50 × 116,518.50
4. Step 4: Simplify right side
   53,581.50x = 13,576,560,842.25
5. Step 5: Solve for x
   x = 13,576,560,842.25/53,581.50
6. Step 6: Final answer
   x = 253,381.50