Finding the Third Proportional to 111,038 and 158,253

Step by Step Solution

1. Step 1: Write the proportion equation
   111,038 : 158,253 = 158,253 : x
2. Step 2: Convert to fraction form
   111,038/158,253 = 158,253/x
3. Step 3: Cross multiply
   111,038x = 158,253 × 158,253
4. Step 4: Simplify right side
   111,038x = 25,044,012,009
5. Step 5: Solve for x
   x = 25,044,012,009/111,038
6. Step 6: Final answer
   x = 225,544.52