Finding the Third Proportional to 53,811 and 118,231.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,811 : 118,231.50 = 118,231.50 : x
2. Step 2: Convert to fraction form
   53,811/118,231.50 = 118,231.50/x
3. Step 3: Cross multiply
   53,811x = 118,231.50 × 118,231.50
4. Step 4: Simplify right side
   53,811x = 13,978,687,592.25
5. Step 5: Solve for x
   x = 13,978,687,592.25/53,811
6. Step 6: Final answer
   x = 259,773.79