Finding the Third Proportional to 55,322 and 119,980

Step by Step Solution

1. Step 1: Write the proportion equation
   55,322 : 119,980 = 119,980 : x
2. Step 2: Convert to fraction form
   55,322/119,980 = 119,980/x
3. Step 3: Cross multiply
   55,322x = 119,980 × 119,980
4. Step 4: Simplify right side
   55,322x = 14,395,200,400
5. Step 5: Solve for x
   x = 14,395,200,400/55,322
6. Step 6: Final answer
   x = 260,207.52