Finding the Third Proportional to 53,777 and 111,007

Step by Step Solution

1. Step 1: Write the proportion equation
   53,777 : 111,007 = 111,007 : x
2. Step 2: Convert to fraction form
   53,777/111,007 = 111,007/x
3. Step 3: Cross multiply
   53,777x = 111,007 × 111,007
4. Step 4: Simplify right side
   53,777x = 12,322,554,049
5. Step 5: Solve for x
   x = 12,322,554,049/53,777
6. Step 6: Final answer
   x = 229,141.72