Finding the Third Proportional to 78,016 and 117,573

Step by Step Solution

1. Step 1: Write the proportion equation
   78,016 : 117,573 = 117,573 : x
2. Step 2: Convert to fraction form
   78,016/117,573 = 117,573/x
3. Step 3: Cross multiply
   78,016x = 117,573 × 117,573
4. Step 4: Simplify right side
   78,016x = 13,823,410,329
5. Step 5: Solve for x
   x = 13,823,410,329/78,016
6. Step 6: Final answer
   x = 177,186.86