Finding the Third Proportional to 53,031 and 111,162

Step by Step Solution

1. Step 1: Write the proportion equation
   53,031 : 111,162 = 111,162 : x
2. Step 2: Convert to fraction form
   53,031/111,162 = 111,162/x
3. Step 3: Cross multiply
   53,031x = 111,162 × 111,162
4. Step 4: Simplify right side
   53,031x = 12,356,990,244
5. Step 5: Solve for x
   x = 12,356,990,244/53,031
6. Step 6: Final answer
   x = 233,014.47