Finding the Third Proportional to 53,680 and 117,980

Step by Step Solution

1. Step 1: Write the proportion equation
   53,680 : 117,980 = 117,980 : x
2. Step 2: Convert to fraction form
   53,680/117,980 = 117,980/x
3. Step 3: Cross multiply
   53,680x = 117,980 × 117,980
4. Step 4: Simplify right side
   53,680x = 13,919,280,400
5. Step 5: Solve for x
   x = 13,919,280,400/53,680
6. Step 6: Final answer
   x = 259,301.05