Finding the Third Proportional to 53,184 and 111,836

Step by Step Solution

1. Step 1: Write the proportion equation
   53,184 : 111,836 = 111,836 : x
2. Step 2: Convert to fraction form
   53,184/111,836 = 111,836/x
3. Step 3: Cross multiply
   53,184x = 111,836 × 111,836
4. Step 4: Simplify right side
   53,184x = 12,507,290,896
5. Step 5: Solve for x
   x = 12,507,290,896/53,184
6. Step 6: Final answer
   x = 235,170.18