Finding the Third Proportional to 55,106 and 120,766

Step by Step Solution

1. Step 1: Write the proportion equation
   55,106 : 120,766 = 120,766 : x
2. Step 2: Convert to fraction form
   55,106/120,766 = 120,766/x
3. Step 3: Cross multiply
   55,106x = 120,766 × 120,766
4. Step 4: Simplify right side
   55,106x = 14,584,426,756
5. Step 5: Solve for x
   x = 14,584,426,756/55,106
6. Step 6: Final answer
   x = 264,661.32