Finding the Third Proportional to 78,654 and 117,993

Step by Step Solution

1. Step 1: Write the proportion equation
   78,654 : 117,993 = 117,993 : x
2. Step 2: Convert to fraction form
   78,654/117,993 = 117,993/x
3. Step 3: Cross multiply
   78,654x = 117,993 × 117,993
4. Step 4: Simplify right side
   78,654x = 13,922,348,049
5. Step 5: Solve for x
   x = 13,922,348,049/78,654
6. Step 6: Final answer
   x = 177,007.50