Finding the Third Proportional to 120,962 and 262,696

Step by Step Solution

1. Step 1: Write the proportion equation
   120,962 : 262,696 = 262,696 : x
2. Step 2: Convert to fraction form
   120,962/262,696 = 262,696/x
3. Step 3: Cross multiply
   120,962x = 262,696 × 262,696
4. Step 4: Simplify right side
   120,962x = 69,009,188,416
5. Step 5: Solve for x
   x = 69,009,188,416/120,962
6. Step 6: Final answer
   x = 570,503.04