Finding the Third Proportional to 111,532.50 and 179,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,532.50 : 179,545.50 = 179,545.50 : x
2. Step 2: Convert to fraction form
   111,532.50/179,545.50 = 179,545.50/x
3. Step 3: Cross multiply
   111,532.50x = 179,545.50 × 179,545.50
4. Step 4: Simplify right side
   111,532.50x = 32,236,586,570.25
5. Step 5: Solve for x
   x = 32,236,586,570.25/111,532.50
6. Step 6: Final answer
   x = 289,033.12