Finding the Third Proportional to 114,221 and 263,250

Step by Step Solution

1. Step 1: Write the proportion equation
   114,221 : 263,250 = 263,250 : x
2. Step 2: Convert to fraction form
   114,221/263,250 = 263,250/x
3. Step 3: Cross multiply
   114,221x = 263,250 × 263,250
4. Step 4: Simplify right side
   114,221x = 69,300,562,500
5. Step 5: Solve for x
   x = 69,300,562,500/114,221
6. Step 6: Final answer
   x = 606,723.48