Finding the Third Proportional to 120,870 and 262,503

Step by Step Solution

1. Step 1: Write the proportion equation
   120,870 : 262,503 = 262,503 : x
2. Step 2: Convert to fraction form
   120,870/262,503 = 262,503/x
3. Step 3: Cross multiply
   120,870x = 262,503 × 262,503
4. Step 4: Simplify right side
   120,870x = 68,907,825,009
5. Step 5: Solve for x
   x = 68,907,825,009/120,870
6. Step 6: Final answer
   x = 570,098.66