Finding the Third Proportional to 53,057.25 and 115,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,057.25 : 115,321.50 = 115,321.50 : x
2. Step 2: Convert to fraction form
   53,057.25/115,321.50 = 115,321.50/x
3. Step 3: Cross multiply
   53,057.25x = 115,321.50 × 115,321.50
4. Step 4: Simplify right side
   53,057.25x = 13,299,048,362.25
5. Step 5: Solve for x
   x = 13,299,048,362.25/53,057.25
6. Step 6: Final answer
   x = 250,654.69