Finding the Third Proportional to 53,986 and 111,430

Step by Step Solution

1. Step 1: Write the proportion equation
   53,986 : 111,430 = 111,430 : x
2. Step 2: Convert to fraction form
   53,986/111,430 = 111,430/x
3. Step 3: Cross multiply
   53,986x = 111,430 × 111,430
4. Step 4: Simplify right side
   53,986x = 12,416,644,900
5. Step 5: Solve for x
   x = 12,416,644,900/53,986
6. Step 6: Final answer
   x = 229,997.50