Finding the Third Proportional to 55,204 and 120,012

Step by Step Solution

1. Step 1: Write the proportion equation
   55,204 : 120,012 = 120,012 : x
2. Step 2: Convert to fraction form
   55,204/120,012 = 120,012/x
3. Step 3: Cross multiply
   55,204x = 120,012 × 120,012
4. Step 4: Simplify right side
   55,204x = 14,402,880,144
5. Step 5: Solve for x
   x = 14,402,880,144/55,204
6. Step 6: Final answer
   x = 260,902.84