Finding the Third Proportional to 50,114 and 107,980

Step by Step Solution

1. Step 1: Write the proportion equation
   50,114 : 107,980 = 107,980 : x
2. Step 2: Convert to fraction form
   50,114/107,980 = 107,980/x
3. Step 3: Cross multiply
   50,114x = 107,980 × 107,980
4. Step 4: Simplify right side
   50,114x = 11,659,680,400
5. Step 5: Solve for x
   x = 11,659,680,400/50,114
6. Step 6: Final answer
   x = 232,663.14