Finding the Third Proportional to 53,204.88 and 111,338

Step by Step Solution

1. Step 1: Write the proportion equation
   53,204.88 : 111,338 = 111,338 : x
2. Step 2: Convert to fraction form
   53,204.88/111,338 = 111,338/x
3. Step 3: Cross multiply
   53,204.88x = 111,338 × 111,338
4. Step 4: Simplify right side
   53,204.88x = 12,396,150,244
5. Step 5: Solve for x
   x = 12,396,150,244/53,204.88
6. Step 6: Final answer
   x = 232,988.99