Finding the Third Proportional to 120,870 and 263,250

Step by Step Solution

1. Step 1: Write the proportion equation
   120,870 : 263,250 = 263,250 : x
2. Step 2: Convert to fraction form
   120,870/263,250 = 263,250/x
3. Step 3: Cross multiply
   120,870x = 263,250 × 263,250
4. Step 4: Simplify right side
   120,870x = 69,300,562,500
5. Step 5: Solve for x
   x = 69,300,562,500/120,870
6. Step 6: Final answer
   x = 573,347.92