Finding the Third Proportional to 120,906 and 263,222

Step by Step Solution

1. Step 1: Write the proportion equation
   120,906 : 263,222 = 263,222 : x
2. Step 2: Convert to fraction form
   120,906/263,222 = 263,222/x
3. Step 3: Cross multiply
   120,906x = 263,222 × 263,222
4. Step 4: Simplify right side
   120,906x = 69,285,821,284
5. Step 5: Solve for x
   x = 69,285,821,284/120,906
6. Step 6: Final answer
   x = 573,055.28