Finding the Third Proportional to 54,946 and 117,666

Step by Step Solution

1. Step 1: Write the proportion equation
   54,946 : 117,666 = 117,666 : x
2. Step 2: Convert to fraction form
   54,946/117,666 = 117,666/x
3. Step 3: Cross multiply
   54,946x = 117,666 × 117,666
4. Step 4: Simplify right side
   54,946x = 13,845,287,556
5. Step 5: Solve for x
   x = 13,845,287,556/54,946
6. Step 6: Final answer
   x = 251,979.90