Finding the Third Proportional to 53,055 and 114,858

Step by Step Solution

1. Step 1: Write the proportion equation
   53,055 : 114,858 = 114,858 : x
2. Step 2: Convert to fraction form
   53,055/114,858 = 114,858/x
3. Step 3: Cross multiply
   53,055x = 114,858 × 114,858
4. Step 4: Simplify right side
   53,055x = 13,192,360,164
5. Step 5: Solve for x
   x = 13,192,360,164/53,055
6. Step 6: Final answer
   x = 248,654.42