Finding the Third Proportional to 111,109.50 and 158,775.75

Step by Step Solution

1. Step 1: Write the proportion equation
   111,109.50 : 158,775.75 = 158,775.75 : x
2. Step 2: Convert to fraction form
   111,109.50/158,775.75 = 158,775.75/x
3. Step 3: Cross multiply
   111,109.50x = 158,775.75 × 158,775.75
4. Step 4: Simplify right side
   111,109.50x = 25,209,738,788.06
5. Step 5: Solve for x
   x = 25,209,738,788.06/111,109.50
6. Step 6: Final answer
   x = 226,890.94