Finding the Third Proportional to 55,066 and 120,680

Step by Step Solution

1. Step 1: Write the proportion equation
   55,066 : 120,680 = 120,680 : x
2. Step 2: Convert to fraction form
   55,066/120,680 = 120,680/x
3. Step 3: Cross multiply
   55,066x = 120,680 × 120,680
4. Step 4: Simplify right side
   55,066x = 14,563,662,400
5. Step 5: Solve for x
   x = 14,563,662,400/55,066
6. Step 6: Final answer
   x = 264,476.49