Finding the Third Proportional to 55,200 and 120,004

Step by Step Solution

1. Step 1: Write the proportion equation
   55,200 : 120,004 = 120,004 : x
2. Step 2: Convert to fraction form
   55,200/120,004 = 120,004/x
3. Step 3: Cross multiply
   55,200x = 120,004 × 120,004
4. Step 4: Simplify right side
   55,200x = 14,400,960,016
5. Step 5: Solve for x
   x = 14,400,960,016/55,200
6. Step 6: Final answer
   x = 260,886.96