Finding the Third Proportional to 111,091.50 and 180,488.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111,091.50 : 180,488.25 = 180,488.25 : x
2. Step 2: Convert to fraction form
   111,091.50/180,488.25 = 180,488.25/x
3. Step 3: Cross multiply
   111,091.50x = 180,488.25 × 180,488.25
4. Step 4: Simplify right side
   111,091.50x = 32,576,008,388.06
5. Step 5: Solve for x
   x = 32,576,008,388.06/111,091.50
6. Step 6: Final answer
   x = 293,235.83