Finding the Third Proportional to 121,092 and 263,981.25

Step by Step Solution

1. Step 1: Write the proportion equation
   121,092 : 263,981.25 = 263,981.25 : x
2. Step 2: Convert to fraction form
   121,092/263,981.25 = 263,981.25/x
3. Step 3: Cross multiply
   121,092x = 263,981.25 × 263,981.25
4. Step 4: Simplify right side
   121,092x = 69,686,100,351.56
5. Step 5: Solve for x
   x = 69,686,100,351.56/121,092
6. Step 6: Final answer
   x = 575,480.63