Finding the Third Proportional to 262,854 and 353,211.75

Step by Step Solution

1. Step 1: Write the proportion equation
   262,854 : 353,211.75 = 353,211.75 : x
2. Step 2: Convert to fraction form
   262,854/353,211.75 = 353,211.75/x
3. Step 3: Cross multiply
   262,854x = 353,211.75 × 353,211.75
4. Step 4: Simplify right side
   262,854x = 124,758,540,338.06
5. Step 5: Solve for x
   x = 124,758,540,338.06/262,854
6. Step 6: Final answer
   x = 474,630.56