Finding the Third Proportional to 111,023.25 and 261,911.25

Step by Step Solution

1. Step 1: Write the proportion equation
   111,023.25 : 261,911.25 = 261,911.25 : x
2. Step 2: Convert to fraction form
   111,023.25/261,911.25 = 261,911.25/x
3. Step 3: Cross multiply
   111,023.25x = 261,911.25 × 261,911.25
4. Step 4: Simplify right side
   111,023.25x = 68,597,502,876.56
5. Step 5: Solve for x
   x = 68,597,502,876.56/111,023.25
6. Step 6: Final answer
   x = 617,866.10