Finding the Third Proportional to 55,084 and 120,436

Step by Step Solution

1. Step 1: Write the proportion equation
   55,084 : 120,436 = 120,436 : x
2. Step 2: Convert to fraction form
   55,084/120,436 = 120,436/x
3. Step 3: Cross multiply
   55,084x = 120,436 × 120,436
4. Step 4: Simplify right side
   55,084x = 14,504,830,096
5. Step 5: Solve for x
   x = 14,504,830,096/55,084
6. Step 6: Final answer
   x = 263,322.02