Finding the Third Proportional to 111,057 and 158,278.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,057 : 158,278.50 = 158,278.50 : x
2. Step 2: Convert to fraction form
   111,057/158,278.50 = 158,278.50/x
3. Step 3: Cross multiply
   111,057x = 158,278.50 × 158,278.50
4. Step 4: Simplify right side
   111,057x = 25,052,083,562.25
5. Step 5: Solve for x
   x = 25,052,083,562.25/111,057
6. Step 6: Final answer
   x = 225,578.61