Finding the Third Proportional to 111,891 and 170,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,891 : 170,758.50 = 170,758.50 : x
2. Step 2: Convert to fraction form
   111,891/170,758.50 = 170,758.50/x
3. Step 3: Cross multiply
   111,891x = 170,758.50 × 170,758.50
4. Step 4: Simplify right side
   111,891x = 29,158,465,322.25
5. Step 5: Solve for x
   x = 29,158,465,322.25/111,891
6. Step 6: Final answer
   x = 260,597.06