Finding the Third Proportional to 50,080 and 117,046

Step by Step Solution

1. Step 1: Write the proportion equation
   50,080 : 117,046 = 117,046 : x
2. Step 2: Convert to fraction form
   50,080/117,046 = 117,046/x
3. Step 3: Cross multiply
   50,080x = 117,046 × 117,046
4. Step 4: Simplify right side
   50,080x = 13,699,766,116
5. Step 5: Solve for x
   x = 13,699,766,116/50,080
6. Step 6: Final answer
   x = 273,557.63