Finding the Third Proportional to 111,537 and 179,552.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111,537 : 179,552.25 = 179,552.25 : x
2. Step 2: Convert to fraction form
   111,537/179,552.25 = 179,552.25/x
3. Step 3: Cross multiply
   111,537x = 179,552.25 × 179,552.25
4. Step 4: Simplify right side
   111,537x = 32,239,010,480.06
5. Step 5: Solve for x
   x = 32,239,010,480.06/111,537
6. Step 6: Final answer
   x = 289,043.19