Finding the Third Proportional to 50,344 and 117,580

Step by Step Solution

1. Step 1: Write the proportion equation
   50,344 : 117,580 = 117,580 : x
2. Step 2: Convert to fraction form
   50,344/117,580 = 117,580/x
3. Step 3: Cross multiply
   50,344x = 117,580 × 117,580
4. Step 4: Simplify right side
   50,344x = 13,825,056,400
5. Step 5: Solve for x
   x = 13,825,056,400/50,344
6. Step 6: Final answer
   x = 274,611.80