Finding the Third Proportional to 120,780 and 262,370

Step by Step Solution

1. Step 1: Write the proportion equation
   120,780 : 262,370 = 262,370 : x
2. Step 2: Convert to fraction form
   120,780/262,370 = 262,370/x
3. Step 3: Cross multiply
   120,780x = 262,370 × 262,370
4. Step 4: Simplify right side
   120,780x = 68,838,016,900
5. Step 5: Solve for x
   x = 68,838,016,900/120,780
6. Step 6: Final answer
   x = 569,945.50