Finding the Third Proportional to 111,292.75 and 262,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,292.75 : 262,456.50 = 262,456.50 : x
2. Step 2: Convert to fraction form
   111,292.75/262,456.50 = 262,456.50/x
3. Step 3: Cross multiply
   111,292.75x = 262,456.50 × 262,456.50
4. Step 4: Simplify right side
   111,292.75x = 68,883,414,392.25
5. Step 5: Solve for x
   x = 68,883,414,392.25/111,292.75
6. Step 6: Final answer
   x = 618,938.92