Finding the Third Proportional to 53,261.50 and 116,057

Step by Step Solution

1. Step 1: Write the proportion equation
   53,261.50 : 116,057 = 116,057 : x
2. Step 2: Convert to fraction form
   53,261.50/116,057 = 116,057/x
3. Step 3: Cross multiply
   53,261.50x = 116,057 × 116,057
4. Step 4: Simplify right side
   53,261.50x = 13,469,227,249
5. Step 5: Solve for x
   x = 13,469,227,249/53,261.50
6. Step 6: Final answer
   x = 252,888.62